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Finding the Fourth Proportional to 2,641.68, 3,952.82 and 2,120.12

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Solution

The fourth proportional to 2,641.68, 3,952.82 and 2,120.12 is: 3,172.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.68 : 3,952.82 = 2,120.12 : x
  2. Step 2: Convert to fraction form
    2,641.68/3,952.82 = 2,120.12/x
  3. Step 3: Cross multiply
    2,641.68x = 3,952.82 × 2,120.12
  4. Step 4: Simplify right side
    2,641.68x = 8,380,452.74
  5. Step 5: Solve for x
    x = 8,380,452.74/2,641.68
  6. Step 6: Final answer
    x = 3,172.40

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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.