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Finding the Fourth Proportional to 1,612.38, 2,416.78 and 688.71

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Solution

The fourth proportional to 1,612.38, 2,416.78 and 688.71 is: 1,032.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.38 : 2,416.78 = 688.71 : x
  2. Step 2: Convert to fraction form
    1,612.38/2,416.78 = 688.71/x
  3. Step 3: Cross multiply
    1,612.38x = 2,416.78 × 688.71
  4. Step 4: Simplify right side
    1,612.38x = 1,664,458.83
  5. Step 5: Solve for x
    x = 1,664,458.83/1,612.38
  6. Step 6: Final answer
    x = 1,032.30

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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.