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Finding the Fourth Proportional to 1,708.28, 2,560.72 and 721.34

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Solution

The fourth proportional to 1,708.28, 2,560.72 and 721.34 is: 1,081.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708.28 : 2,560.72 = 721.34 : x
  2. Step 2: Convert to fraction form
    1,708.28/2,560.72 = 721.34/x
  3. Step 3: Cross multiply
    1,708.28x = 2,560.72 × 721.34
  4. Step 4: Simplify right side
    1,708.28x = 1,847,149.76
  5. Step 5: Solve for x
    x = 1,847,149.76/1,708.28
  6. Step 6: Final answer
    x = 1,081.29

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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.