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Finding the Fourth Proportional to 2,193.54, 3,290.22 and 732.58

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Solution

The fourth proportional to 2,193.54, 3,290.22 and 732.58 is: 1,098.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.54 : 3,290.22 = 732.58 : x
  2. Step 2: Convert to fraction form
    2,193.54/3,290.22 = 732.58/x
  3. Step 3: Cross multiply
    2,193.54x = 3,290.22 × 732.58
  4. Step 4: Simplify right side
    2,193.54x = 2,410,349.37
  5. Step 5: Solve for x
    x = 2,410,349.37/2,193.54
  6. Step 6: Final answer
    x = 1,098.84

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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.