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Finding the Fourth Proportional to 3,192.80, 4,404.72 and 2,306.64

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Solution

The fourth proportional to 3,192.80, 4,404.72 and 2,306.64 is: 3,182.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,192.80 : 4,404.72 = 2,306.64 : x
  2. Step 2: Convert to fraction form
    3,192.80/4,404.72 = 2,306.64/x
  3. Step 3: Cross multiply
    3,192.80x = 4,404.72 × 2,306.64
  4. Step 4: Simplify right side
    3,192.80x = 10,160,103.34
  5. Step 5: Solve for x
    x = 10,160,103.34/3,192.80
  6. Step 6: Final answer
    x = 3,182.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.