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Finding the Fourth Proportional to 1,929, 2,662.38 and 1,463.88

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Solution

The fourth proportional to 1,929, 2,662.38 and 1,463.88 is: 2,020.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929 : 2,662.38 = 1,463.88 : x
  2. Step 2: Convert to fraction form
    1,929/2,662.38 = 1,463.88/x
  3. Step 3: Cross multiply
    1,929x = 2,662.38 × 1,463.88
  4. Step 4: Simplify right side
    1,929x = 3,897,404.83
  5. Step 5: Solve for x
    x = 3,897,404.83/1,929
  6. Step 6: Final answer
    x = 2,020.43

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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.