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Finding the Fourth Proportional to 2,260.74, 3,119.77 and 1,266.10

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Solution

The fourth proportional to 2,260.74, 3,119.77 and 1,266.10 is: 1,747.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,260.74 : 3,119.77 = 1,266.10 : x
  2. Step 2: Convert to fraction form
    2,260.74/3,119.77 = 1,266.10/x
  3. Step 3: Cross multiply
    2,260.74x = 3,119.77 × 1,266.10
  4. Step 4: Simplify right side
    2,260.74x = 3,949,940.80
  5. Step 5: Solve for x
    x = 3,949,940.80/2,260.74
  6. Step 6: Final answer
    x = 1,747.19

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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.