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Finding the Fourth Proportional to 1,612.83, 2,414.89 and 841.71

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Solution

The fourth proportional to 1,612.83, 2,414.89 and 841.71 is: 1,260.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.83 : 2,414.89 = 841.71 : x
  2. Step 2: Convert to fraction form
    1,612.83/2,414.89 = 841.71/x
  3. Step 3: Cross multiply
    1,612.83x = 2,414.89 × 841.71
  4. Step 4: Simplify right side
    1,612.83x = 2,032,637.06
  5. Step 5: Solve for x
    x = 2,032,637.06/1,612.83
  6. Step 6: Final answer
    x = 1,260.29

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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.