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Finding the Fourth Proportional to 2,542.65, 3,512.22 and 1,952.45

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Solution

The fourth proportional to 2,542.65, 3,512.22 and 1,952.45 is: 2,696.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.65 : 3,512.22 = 1,952.45 : x
  2. Step 2: Convert to fraction form
    2,542.65/3,512.22 = 1,952.45/x
  3. Step 3: Cross multiply
    2,542.65x = 3,512.22 × 1,952.45
  4. Step 4: Simplify right side
    2,542.65x = 6,857,416.38
  5. Step 5: Solve for x
    x = 6,857,416.38/2,542.65
  6. Step 6: Final answer
    x = 2,696.96

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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.