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Finding the Fourth Proportional to 2,543.14, 3,512.28 and 2,268.28

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Solution

The fourth proportional to 2,543.14, 3,512.28 and 2,268.28 is: 3,132.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.14 : 3,512.28 = 2,268.28 : x
  2. Step 2: Convert to fraction form
    2,543.14/3,512.28 = 2,268.28/x
  3. Step 3: Cross multiply
    2,543.14x = 3,512.28 × 2,268.28
  4. Step 4: Simplify right side
    2,543.14x = 7,966,834.48
  5. Step 5: Solve for x
    x = 7,966,834.48/2,543.14
  6. Step 6: Final answer
    x = 3,132.68

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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.