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Finding the Fourth Proportional to 1,842.39, 2,540.67 and 1,179

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Solution

The fourth proportional to 1,842.39, 2,540.67 and 1,179 is: 1,625.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.39 : 2,540.67 = 1,179 : x
  2. Step 2: Convert to fraction form
    1,842.39/2,540.67 = 1,179/x
  3. Step 3: Cross multiply
    1,842.39x = 2,540.67 × 1,179
  4. Step 4: Simplify right side
    1,842.39x = 2,995,449.93
  5. Step 5: Solve for x
    x = 2,995,449.93/1,842.39
  6. Step 6: Final answer
    x = 1,625.85

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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.