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Finding the Fourth Proportional to 2,251.52, 3,374.11 and 1,064.30

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Solution

The fourth proportional to 2,251.52, 3,374.11 and 1,064.30 is: 1,594.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,251.52 : 3,374.11 = 1,064.30 : x
  2. Step 2: Convert to fraction form
    2,251.52/3,374.11 = 1,064.30/x
  3. Step 3: Cross multiply
    2,251.52x = 3,374.11 × 1,064.30
  4. Step 4: Simplify right side
    2,251.52x = 3,591,045.74
  5. Step 5: Solve for x
    x = 3,591,045.74/2,251.52
  6. Step 6: Final answer
    x = 1,594.94

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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.