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Finding the Fourth Proportional to 2,118, 3,182 and 1,349.04

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Solution

The fourth proportional to 2,118, 3,182 and 1,349.04 is: 2,026.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118 : 3,182 = 1,349.04 : x
  2. Step 2: Convert to fraction form
    2,118/3,182 = 1,349.04/x
  3. Step 3: Cross multiply
    2,118x = 3,182 × 1,349.04
  4. Step 4: Simplify right side
    2,118x = 4,292,645.28
  5. Step 5: Solve for x
    x = 4,292,645.28/2,118
  6. Step 6: Final answer
    x = 2,026.74

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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.