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Finding the Fourth Proportional to 1,614.43, 2,424.08 and 921.88

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Solution

The fourth proportional to 1,614.43, 2,424.08 and 921.88 is: 1,384.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.43 : 2,424.08 = 921.88 : x
  2. Step 2: Convert to fraction form
    1,614.43/2,424.08 = 921.88/x
  3. Step 3: Cross multiply
    1,614.43x = 2,424.08 × 921.88
  4. Step 4: Simplify right side
    1,614.43x = 2,234,710.87
  5. Step 5: Solve for x
    x = 2,234,710.87/1,614.43
  6. Step 6: Final answer
    x = 1,384.21

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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.