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Finding the Fourth Proportional to 2,254.71, 3,382.38 and 694.84

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Solution

The fourth proportional to 2,254.71, 3,382.38 and 694.84 is: 1,042.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254.71 : 3,382.38 = 694.84 : x
  2. Step 2: Convert to fraction form
    2,254.71/3,382.38 = 694.84/x
  3. Step 3: Cross multiply
    2,254.71x = 3,382.38 × 694.84
  4. Step 4: Simplify right side
    2,254.71x = 2,350,212.92
  5. Step 5: Solve for x
    x = 2,350,212.92/2,254.71
  6. Step 6: Final answer
    x = 1,042.36

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