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Finding the Fourth Proportional to 2,149.11, 2,966.90 and 1,520.15

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Solution

The fourth proportional to 2,149.11, 2,966.90 and 1,520.15 is: 2,098.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.11 : 2,966.90 = 1,520.15 : x
  2. Step 2: Convert to fraction form
    2,149.11/2,966.90 = 1,520.15/x
  3. Step 3: Cross multiply
    2,149.11x = 2,966.90 × 1,520.15
  4. Step 4: Simplify right side
    2,149.11x = 4,510,110.60
  5. Step 5: Solve for x
    x = 4,510,110.60/2,149.11
  6. Step 6: Final answer
    x = 2,098.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.