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Finding the Fourth Proportional to 2,872.27, 3,962.70 and 1,878.12

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Solution

The fourth proportional to 2,872.27, 3,962.70 and 1,878.12 is: 2,591.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.27 : 3,962.70 = 1,878.12 : x
  2. Step 2: Convert to fraction form
    2,872.27/3,962.70 = 1,878.12/x
  3. Step 3: Cross multiply
    2,872.27x = 3,962.70 × 1,878.12
  4. Step 4: Simplify right side
    2,872.27x = 7,442,437.56
  5. Step 5: Solve for x
    x = 7,442,437.56/2,872.27
  6. Step 6: Final answer
    x = 2,591.13

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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.