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Finding the Fourth Proportional to 2,502.97, 3,452.78 and 2,031.39

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Solution

The fourth proportional to 2,502.97, 3,452.78 and 2,031.39 is: 2,802.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.97 : 3,452.78 = 2,031.39 : x
  2. Step 2: Convert to fraction form
    2,502.97/3,452.78 = 2,031.39/x
  3. Step 3: Cross multiply
    2,502.97x = 3,452.78 × 2,031.39
  4. Step 4: Simplify right side
    2,502.97x = 7,013,947.84
  5. Step 5: Solve for x
    x = 7,013,947.84/2,502.97
  6. Step 6: Final answer
    x = 2,802.25

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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.