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Finding the Fourth Proportional to 2,872.89, 3,966.42 and 2,242.31

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Solution

The fourth proportional to 2,872.89, 3,966.42 and 2,242.31 is: 3,095.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.89 : 3,966.42 = 2,242.31 : x
  2. Step 2: Convert to fraction form
    2,872.89/3,966.42 = 2,242.31/x
  3. Step 3: Cross multiply
    2,872.89x = 3,966.42 × 2,242.31
  4. Step 4: Simplify right side
    2,872.89x = 8,893,923.40
  5. Step 5: Solve for x
    x = 8,893,923.40/2,872.89
  6. Step 6: Final answer
    x = 3,095.81

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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.