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Finding the Fourth Proportional to 3,102.67, 4,276.69 and 2,542.15

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Solution

The fourth proportional to 3,102.67, 4,276.69 and 2,542.15 is: 3,504.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.67 : 4,276.69 = 2,542.15 : x
  2. Step 2: Convert to fraction form
    3,102.67/4,276.69 = 2,542.15/x
  3. Step 3: Cross multiply
    3,102.67x = 4,276.69 × 2,542.15
  4. Step 4: Simplify right side
    3,102.67x = 10,871,970.44
  5. Step 5: Solve for x
    x = 10,871,970.44/3,102.67
  6. Step 6: Final answer
    x = 3,504.07

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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.