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Finding the Fourth Proportional to 2,342.50, 3,512.13 and 1,418.29

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Solution

The fourth proportional to 2,342.50, 3,512.13 and 1,418.29 is: 2,126.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.50 : 3,512.13 = 1,418.29 : x
  2. Step 2: Convert to fraction form
    2,342.50/3,512.13 = 1,418.29/x
  3. Step 3: Cross multiply
    2,342.50x = 3,512.13 × 1,418.29
  4. Step 4: Simplify right side
    2,342.50x = 4,981,218.86
  5. Step 5: Solve for x
    x = 4,981,218.86/2,342.50
  6. Step 6: Final answer
    x = 2,126.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.