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Finding the Fourth Proportional to 1,592.31, 2,198 and 929.38

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Solution

The fourth proportional to 1,592.31, 2,198 and 929.38 is: 1,282.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.31 : 2,198 = 929.38 : x
  2. Step 2: Convert to fraction form
    1,592.31/2,198 = 929.38/x
  3. Step 3: Cross multiply
    1,592.31x = 2,198 × 929.38
  4. Step 4: Simplify right side
    1,592.31x = 2,042,777.24
  5. Step 5: Solve for x
    x = 2,042,777.24/1,592.31
  6. Step 6: Final answer
    x = 1,282.90

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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.