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Finding the Fourth Proportional to 2,877.47, 3,972.87 and 2,204.08

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Solution

The fourth proportional to 2,877.47, 3,972.87 and 2,204.08 is: 3,043.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.47 : 3,972.87 = 2,204.08 : x
  2. Step 2: Convert to fraction form
    2,877.47/3,972.87 = 2,204.08/x
  3. Step 3: Cross multiply
    2,877.47x = 3,972.87 × 2,204.08
  4. Step 4: Simplify right side
    2,877.47x = 8,756,523.31
  5. Step 5: Solve for x
    x = 8,756,523.31/2,877.47
  6. Step 6: Final answer
    x = 3,043.13

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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.