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Finding the Fourth Proportional to 2,269.96, 3,132.63 and 1,275.46

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Solution

The fourth proportional to 2,269.96, 3,132.63 and 1,275.46 is: 1,760.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.96 : 3,132.63 = 1,275.46 : x
  2. Step 2: Convert to fraction form
    2,269.96/3,132.63 = 1,275.46/x
  3. Step 3: Cross multiply
    2,269.96x = 3,132.63 × 1,275.46
  4. Step 4: Simplify right side
    2,269.96x = 3,995,544.26
  5. Step 5: Solve for x
    x = 3,995,544.26/2,269.96
  6. Step 6: Final answer
    x = 1,760.18

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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.