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Finding the Fourth Proportional to 2,568.72, 3,542.28 and 2,069.76

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Solution

The fourth proportional to 2,568.72, 3,542.28 and 2,069.76 is: 2,854.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.72 : 3,542.28 = 2,069.76 : x
  2. Step 2: Convert to fraction form
    2,568.72/3,542.28 = 2,069.76/x
  3. Step 3: Cross multiply
    2,568.72x = 3,542.28 × 2,069.76
  4. Step 4: Simplify right side
    2,568.72x = 7,331,669.45
  5. Step 5: Solve for x
    x = 7,331,669.45/2,568.72
  6. Step 6: Final answer
    x = 2,854.21

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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.