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Finding the Fourth Proportional to 2,193.76, 3,290.72 and 732.93

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Solution

The fourth proportional to 2,193.76, 3,290.72 and 732.93 is: 1,099.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.76 : 3,290.72 = 732.93 : x
  2. Step 2: Convert to fraction form
    2,193.76/3,290.72 = 732.93/x
  3. Step 3: Cross multiply
    2,193.76x = 3,290.72 × 732.93
  4. Step 4: Simplify right side
    2,193.76x = 2,411,867.41
  5. Step 5: Solve for x
    x = 2,411,867.41/2,193.76
  6. Step 6: Final answer
    x = 1,099.42

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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.