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Finding the Fourth Proportional to 3,167.91, 4,750.92 and 1,192.10

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Solution

The fourth proportional to 3,167.91, 4,750.92 and 1,192.10 is: 1,787.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.91 : 4,750.92 = 1,192.10 : x
  2. Step 2: Convert to fraction form
    3,167.91/4,750.92 = 1,192.10/x
  3. Step 3: Cross multiply
    3,167.91x = 4,750.92 × 1,192.10
  4. Step 4: Simplify right side
    3,167.91x = 5,663,586.59
  5. Step 5: Solve for x
    x = 5,663,586.59/3,167.91
  6. Step 6: Final answer
    x = 1,787.80

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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.