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Finding the Fourth Proportional to 2,877.81, 3,966.08 and 2,247.36

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Solution

The fourth proportional to 2,877.81, 3,966.08 and 2,247.36 is: 3,097.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.81 : 3,966.08 = 2,247.36 : x
  2. Step 2: Convert to fraction form
    2,877.81/3,966.08 = 2,247.36/x
  3. Step 3: Cross multiply
    2,877.81x = 3,966.08 × 2,247.36
  4. Step 4: Simplify right side
    2,877.81x = 8,913,198.31
  5. Step 5: Solve for x
    x = 8,913,198.31/2,877.81
  6. Step 6: Final answer
    x = 3,097.22

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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.