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Finding the Fourth Proportional to 2,447.98, 3,671.52 and 2,324.86

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Solution

The fourth proportional to 2,447.98, 3,671.52 and 2,324.86 is: 3,486.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.98 : 3,671.52 = 2,324.86 : x
  2. Step 2: Convert to fraction form
    2,447.98/3,671.52 = 2,324.86/x
  3. Step 3: Cross multiply
    2,447.98x = 3,671.52 × 2,324.86
  4. Step 4: Simplify right side
    2,447.98x = 8,535,769.99
  5. Step 5: Solve for x
    x = 8,535,769.99/2,447.98
  6. Step 6: Final answer
    x = 3,486.86

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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.