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Finding the Fourth Proportional to 2,260.54, 3,119.41 and 1,265.66

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Solution

The fourth proportional to 2,260.54, 3,119.41 and 1,265.66 is: 1,746.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,260.54 : 3,119.41 = 1,265.66 : x
  2. Step 2: Convert to fraction form
    2,260.54/3,119.41 = 1,265.66/x
  3. Step 3: Cross multiply
    2,260.54x = 3,119.41 × 1,265.66
  4. Step 4: Simplify right side
    2,260.54x = 3,948,110.14
  5. Step 5: Solve for x
    x = 3,948,110.14/2,260.54
  6. Step 6: Final answer
    x = 1,746.53

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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.