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Finding the Fourth Proportional to 2,269.52, 3,131.97 and 1,274.74

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Solution

The fourth proportional to 2,269.52, 3,131.97 and 1,274.74 is: 1,759.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.52 : 3,131.97 = 1,274.74 : x
  2. Step 2: Convert to fraction form
    2,269.52/3,131.97 = 1,274.74/x
  3. Step 3: Cross multiply
    2,269.52x = 3,131.97 × 1,274.74
  4. Step 4: Simplify right side
    2,269.52x = 3,992,434.83
  5. Step 5: Solve for x
    x = 3,992,434.83/2,269.52
  6. Step 6: Final answer
    x = 1,759.15

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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.