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Finding the Fourth Proportional to 1,616.87, 2,425.71 and 521.21

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Solution

The fourth proportional to 1,616.87, 2,425.71 and 521.21 is: 781.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.87 : 2,425.71 = 521.21 : x
  2. Step 2: Convert to fraction form
    1,616.87/2,425.71 = 521.21/x
  3. Step 3: Cross multiply
    1,616.87x = 2,425.71 × 521.21
  4. Step 4: Simplify right side
    1,616.87x = 1,264,304.31
  5. Step 5: Solve for x
    x = 1,264,304.31/1,616.87
  6. Step 6: Final answer
    x = 781.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.