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Finding the Fourth Proportional to 2,218.52, 3,327.92 and 575.12

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Solution

The fourth proportional to 2,218.52, 3,327.92 and 575.12 is: 862.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,218.52 : 3,327.92 = 575.12 : x
  2. Step 2: Convert to fraction form
    2,218.52/3,327.92 = 575.12/x
  3. Step 3: Cross multiply
    2,218.52x = 3,327.92 × 575.12
  4. Step 4: Simplify right side
    2,218.52x = 1,913,953.35
  5. Step 5: Solve for x
    x = 1,913,953.35/2,218.52
  6. Step 6: Final answer
    x = 862.72

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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.