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Finding the Fourth Proportional to 2,212.72, 3,319.56 and 731.88

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Solution

The fourth proportional to 2,212.72, 3,319.56 and 731.88 is: 1,097.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,212.72 : 3,319.56 = 731.88 : x
  2. Step 2: Convert to fraction form
    2,212.72/3,319.56 = 731.88/x
  3. Step 3: Cross multiply
    2,212.72x = 3,319.56 × 731.88
  4. Step 4: Simplify right side
    2,212.72x = 2,429,519.57
  5. Step 5: Solve for x
    x = 2,429,519.57/2,212.72
  6. Step 6: Final answer
    x = 1,097.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.