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Finding the Fourth Proportional to 2,251.52, 3,105.12 and 1,366.40

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Solution

The fourth proportional to 2,251.52, 3,105.12 and 1,366.40 is: 1,884.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,251.52 : 3,105.12 = 1,366.40 : x
  2. Step 2: Convert to fraction form
    2,251.52/3,105.12 = 1,366.40/x
  3. Step 3: Cross multiply
    2,251.52x = 3,105.12 × 1,366.40
  4. Step 4: Simplify right side
    2,251.52x = 4,242,835.97
  5. Step 5: Solve for x
    x = 4,242,835.97/2,251.52
  6. Step 6: Final answer
    x = 1,884.43

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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.