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Finding the Fourth Proportional to 2,447.92, 3,668.68 and 2,134

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Solution

The fourth proportional to 2,447.92, 3,668.68 and 2,134 is: 3,198.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.92 : 3,668.68 = 2,134 : x
  2. Step 2: Convert to fraction form
    2,447.92/3,668.68 = 2,134/x
  3. Step 3: Cross multiply
    2,447.92x = 3,668.68 × 2,134
  4. Step 4: Simplify right side
    2,447.92x = 7,828,963.12
  5. Step 5: Solve for x
    x = 7,828,963.12/2,447.92
  6. Step 6: Final answer
    x = 3,198.21

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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.