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Finding the Fourth Proportional to 2,260.39, 3,118.97 and 1,265.71

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Solution

The fourth proportional to 2,260.39, 3,118.97 and 1,265.71 is: 1,746.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,260.39 : 3,118.97 = 1,265.71 : x
  2. Step 2: Convert to fraction form
    2,260.39/3,118.97 = 1,265.71/x
  3. Step 3: Cross multiply
    2,260.39x = 3,118.97 × 1,265.71
  4. Step 4: Simplify right side
    2,260.39x = 3,947,695.92
  5. Step 5: Solve for x
    x = 3,947,695.92/2,260.39
  6. Step 6: Final answer
    x = 1,746.47

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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.