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Finding the Fourth Proportional to 2,488.53, 3,729.72 and 2,180.98

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Solution

The fourth proportional to 2,488.53, 3,729.72 and 2,180.98 is: 3,268.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,488.53 : 3,729.72 = 2,180.98 : x
  2. Step 2: Convert to fraction form
    2,488.53/3,729.72 = 2,180.98/x
  3. Step 3: Cross multiply
    2,488.53x = 3,729.72 × 2,180.98
  4. Step 4: Simplify right side
    2,488.53x = 8,134,444.73
  5. Step 5: Solve for x
    x = 8,134,444.73/2,488.53
  6. Step 6: Final answer
    x = 3,268.78

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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.