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Finding the Fourth Proportional to 3,267.80, 4,898.82 and 1,538.52

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Solution

The fourth proportional to 3,267.80, 4,898.82 and 1,538.52 is: 2,306.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,267.80 : 4,898.82 = 1,538.52 : x
  2. Step 2: Convert to fraction form
    3,267.80/4,898.82 = 1,538.52/x
  3. Step 3: Cross multiply
    3,267.80x = 4,898.82 × 1,538.52
  4. Step 4: Simplify right side
    3,267.80x = 7,536,932.55
  5. Step 5: Solve for x
    x = 7,536,932.55/3,267.80
  6. Step 6: Final answer
    x = 2,306.42

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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.