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Finding the Fourth Proportional to 1,820.55, 2,729.20 and 724.17

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Solution

The fourth proportional to 1,820.55, 2,729.20 and 724.17 is: 1,085.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.55 : 2,729.20 = 724.17 : x
  2. Step 2: Convert to fraction form
    1,820.55/2,729.20 = 724.17/x
  3. Step 3: Cross multiply
    1,820.55x = 2,729.20 × 724.17
  4. Step 4: Simplify right side
    1,820.55x = 1,976,404.76
  5. Step 5: Solve for x
    x = 1,976,404.76/1,820.55
  6. Step 6: Final answer
    x = 1,085.61

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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.