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Finding the Fourth Proportional to 3,102.92, 4,277.03 and 2,542.40

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Solution

The fourth proportional to 3,102.92, 4,277.03 and 2,542.40 is: 3,504.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.92 : 4,277.03 = 2,542.40 : x
  2. Step 2: Convert to fraction form
    3,102.92/4,277.03 = 2,542.40/x
  3. Step 3: Cross multiply
    3,102.92x = 4,277.03 × 2,542.40
  4. Step 4: Simplify right side
    3,102.92x = 10,873,921.07
  5. Step 5: Solve for x
    x = 10,873,921.07/3,102.92
  6. Step 6: Final answer
    x = 3,504.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.