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Finding the Fourth Proportional to 2,447.16, 3,672.56 and 1,823.88

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Solution

The fourth proportional to 2,447.16, 3,672.56 and 1,823.88 is: 2,737.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.16 : 3,672.56 = 1,823.88 : x
  2. Step 2: Convert to fraction form
    2,447.16/3,672.56 = 1,823.88/x
  3. Step 3: Cross multiply
    2,447.16x = 3,672.56 × 1,823.88
  4. Step 4: Simplify right side
    2,447.16x = 6,698,308.73
  5. Step 5: Solve for x
    x = 6,698,308.73/2,447.16
  6. Step 6: Final answer
    x = 2,737.18

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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.