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Finding the Fourth Proportional to 2,193.49, 3,290.24 and 732.76

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Solution

The fourth proportional to 2,193.49, 3,290.24 and 732.76 is: 1,099.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.49 : 3,290.24 = 732.76 : x
  2. Step 2: Convert to fraction form
    2,193.49/3,290.24 = 732.76/x
  3. Step 3: Cross multiply
    2,193.49x = 3,290.24 × 732.76
  4. Step 4: Simplify right side
    2,193.49x = 2,410,947.12
  5. Step 5: Solve for x
    x = 2,410,947.12/2,193.49
  6. Step 6: Final answer
    x = 1,099.14

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.