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Finding the Fourth Proportional to 1,497.06, 2,242.17 and 717.61

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Solution

The fourth proportional to 1,497.06, 2,242.17 and 717.61 is: 1,074.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.06 : 2,242.17 = 717.61 : x
  2. Step 2: Convert to fraction form
    1,497.06/2,242.17 = 717.61/x
  3. Step 3: Cross multiply
    1,497.06x = 2,242.17 × 717.61
  4. Step 4: Simplify right side
    1,497.06x = 1,609,003.61
  5. Step 5: Solve for x
    x = 1,609,003.61/1,497.06
  6. Step 6: Final answer
    x = 1,074.78

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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.