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Finding the Fourth Proportional to 1,592.38, 2,388.95 and 667.42

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Solution

The fourth proportional to 1,592.38, 2,388.95 and 667.42 is: 1,001.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.38 : 2,388.95 = 667.42 : x
  2. Step 2: Convert to fraction form
    1,592.38/2,388.95 = 667.42/x
  3. Step 3: Cross multiply
    1,592.38x = 2,388.95 × 667.42
  4. Step 4: Simplify right side
    1,592.38x = 1,594,433.01
  5. Step 5: Solve for x
    x = 1,594,433.01/1,592.38
  6. Step 6: Final answer
    x = 1,001.29

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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.