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Finding the Fourth Proportional to 2,750.92, 4,127.29 and 1,107.02

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Solution

The fourth proportional to 2,750.92, 4,127.29 and 1,107.02 is: 1,660.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,750.92 : 4,127.29 = 1,107.02 : x
  2. Step 2: Convert to fraction form
    2,750.92/4,127.29 = 1,107.02/x
  3. Step 3: Cross multiply
    2,750.92x = 4,127.29 × 1,107.02
  4. Step 4: Simplify right side
    2,750.92x = 4,569,000.13
  5. Step 5: Solve for x
    x = 4,569,000.13/2,750.92
  6. Step 6: Final answer
    x = 1,660.90

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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.