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Finding the Fourth Proportional to 1,654.14, 2,479.05 and 680.97

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Solution

The fourth proportional to 1,654.14, 2,479.05 and 680.97 is: 1,020.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.14 : 2,479.05 = 680.97 : x
  2. Step 2: Convert to fraction form
    1,654.14/2,479.05 = 680.97/x
  3. Step 3: Cross multiply
    1,654.14x = 2,479.05 × 680.97
  4. Step 4: Simplify right side
    1,654.14x = 1,688,158.68
  5. Step 5: Solve for x
    x = 1,688,158.68/1,654.14
  6. Step 6: Final answer
    x = 1,020.57

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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.