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Finding the Fourth Proportional to 2,254.97, 3,382.78 and 695.11

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Solution

The fourth proportional to 2,254.97, 3,382.78 and 695.11 is: 1,042.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254.97 : 3,382.78 = 695.11 : x
  2. Step 2: Convert to fraction form
    2,254.97/3,382.78 = 695.11/x
  3. Step 3: Cross multiply
    2,254.97x = 3,382.78 × 695.11
  4. Step 4: Simplify right side
    2,254.97x = 2,351,387.29
  5. Step 5: Solve for x
    x = 2,351,387.29/2,254.97
  6. Step 6: Final answer
    x = 1,042.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.