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Finding the Fourth Proportional to 2,342.44, 3,513.48 and 861.70

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Solution

The fourth proportional to 2,342.44, 3,513.48 and 861.70 is: 1,292.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.44 : 3,513.48 = 861.70 : x
  2. Step 2: Convert to fraction form
    2,342.44/3,513.48 = 861.70/x
  3. Step 3: Cross multiply
    2,342.44x = 3,513.48 × 861.70
  4. Step 4: Simplify right side
    2,342.44x = 3,027,565.72
  5. Step 5: Solve for x
    x = 3,027,565.72/2,342.44
  6. Step 6: Final answer
    x = 1,292.48

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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.