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Finding the Fourth Proportional to 2,074.68, 2,865.24 and 1,542.78

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Solution

The fourth proportional to 2,074.68, 2,865.24 and 1,542.78 is: 2,130.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.68 : 2,865.24 = 1,542.78 : x
  2. Step 2: Convert to fraction form
    2,074.68/2,865.24 = 1,542.78/x
  3. Step 3: Cross multiply
    2,074.68x = 2,865.24 × 1,542.78
  4. Step 4: Simplify right side
    2,074.68x = 4,420,434.97
  5. Step 5: Solve for x
    x = 4,420,434.97/2,074.68
  6. Step 6: Final answer
    x = 2,130.66

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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.