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Finding the Fourth Proportional to 2,227.92, 3,074.53 and 1,284.26

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Solution

The fourth proportional to 2,227.92, 3,074.53 and 1,284.26 is: 1,772.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.92 : 3,074.53 = 1,284.26 : x
  2. Step 2: Convert to fraction form
    2,227.92/3,074.53 = 1,284.26/x
  3. Step 3: Cross multiply
    2,227.92x = 3,074.53 × 1,284.26
  4. Step 4: Simplify right side
    2,227.92x = 3,948,508.46
  5. Step 5: Solve for x
    x = 3,948,508.46/2,227.92
  6. Step 6: Final answer
    x = 1,772.28

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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.