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Finding the Fourth Proportional to 1,747.46, 2,621.16 and 707.44

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Solution

The fourth proportional to 1,747.46, 2,621.16 and 707.44 is: 1,061.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.46 : 2,621.16 = 707.44 : x
  2. Step 2: Convert to fraction form
    1,747.46/2,621.16 = 707.44/x
  3. Step 3: Cross multiply
    1,747.46x = 2,621.16 × 707.44
  4. Step 4: Simplify right side
    1,747.46x = 1,854,313.43
  5. Step 5: Solve for x
    x = 1,854,313.43/1,747.46
  6. Step 6: Final answer
    x = 1,061.15

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