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Finding the Fourth Proportional to 2,765.49, 3,812.31 and 1,978.17

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Solution

The fourth proportional to 2,765.49, 3,812.31 and 1,978.17 is: 2,726.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.49 : 3,812.31 = 1,978.17 : x
  2. Step 2: Convert to fraction form
    2,765.49/3,812.31 = 1,978.17/x
  3. Step 3: Cross multiply
    2,765.49x = 3,812.31 × 1,978.17
  4. Step 4: Simplify right side
    2,765.49x = 7,541,397.27
  5. Step 5: Solve for x
    x = 7,541,397.27/2,765.49
  6. Step 6: Final answer
    x = 2,726.97

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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.