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Finding the Fourth Proportional to 2,269.72, 3,132.24 and 1,275.22

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Solution

The fourth proportional to 2,269.72, 3,132.24 and 1,275.22 is: 1,759.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.72 : 3,132.24 = 1,275.22 : x
  2. Step 2: Convert to fraction form
    2,269.72/3,132.24 = 1,275.22/x
  3. Step 3: Cross multiply
    2,269.72x = 3,132.24 × 1,275.22
  4. Step 4: Simplify right side
    2,269.72x = 3,994,295.09
  5. Step 5: Solve for x
    x = 3,994,295.09/2,269.72
  6. Step 6: Final answer
    x = 1,759.82

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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.