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Finding the Fourth Proportional to 1,616.31, 2,230.49 and 1,057.71

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Solution

The fourth proportional to 1,616.31, 2,230.49 and 1,057.71 is: 1,459.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.31 : 2,230.49 = 1,057.71 : x
  2. Step 2: Convert to fraction form
    1,616.31/2,230.49 = 1,057.71/x
  3. Step 3: Cross multiply
    1,616.31x = 2,230.49 × 1,057.71
  4. Step 4: Simplify right side
    1,616.31x = 2,359,206.29
  5. Step 5: Solve for x
    x = 2,359,206.29/1,616.31
  6. Step 6: Final answer
    x = 1,459.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.