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Finding the Fourth Proportional to 2,512.38, 3,462.03 and 2,073.42

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Solution

The fourth proportional to 2,512.38, 3,462.03 and 2,073.42 is: 2,857.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.38 : 3,462.03 = 2,073.42 : x
  2. Step 2: Convert to fraction form
    2,512.38/3,462.03 = 2,073.42/x
  3. Step 3: Cross multiply
    2,512.38x = 3,462.03 × 2,073.42
  4. Step 4: Simplify right side
    2,512.38x = 7,178,242.24
  5. Step 5: Solve for x
    x = 7,178,242.24/2,512.38
  6. Step 6: Final answer
    x = 2,857.15

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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.