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Finding the Fourth Proportional to 2,478.76, 3,427.26 and 2,167.48

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Solution

The fourth proportional to 2,478.76, 3,427.26 and 2,167.48 is: 2,996.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.76 : 3,427.26 = 2,167.48 : x
  2. Step 2: Convert to fraction form
    2,478.76/3,427.26 = 2,167.48/x
  3. Step 3: Cross multiply
    2,478.76x = 3,427.26 × 2,167.48
  4. Step 4: Simplify right side
    2,478.76x = 7,428,517.50
  5. Step 5: Solve for x
    x = 7,428,517.50/2,478.76
  6. Step 6: Final answer
    x = 2,996.87

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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.