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Finding the Fourth Proportional to 2,251.52, 3,376.34 and 935.48

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Solution

The fourth proportional to 2,251.52, 3,376.34 and 935.48 is: 1,402.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,251.52 : 3,376.34 = 935.48 : x
  2. Step 2: Convert to fraction form
    2,251.52/3,376.34 = 935.48/x
  3. Step 3: Cross multiply
    2,251.52x = 3,376.34 × 935.48
  4. Step 4: Simplify right side
    2,251.52x = 3,158,498.54
  5. Step 5: Solve for x
    x = 3,158,498.54/2,251.52
  6. Step 6: Final answer
    x = 1,402.83

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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.