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Finding the Fourth Proportional to 2,634.91, 3,652.82 and 2,494.46

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Solution

The fourth proportional to 2,634.91, 3,652.82 and 2,494.46 is: 3,458.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,634.91 : 3,652.82 = 2,494.46 : x
  2. Step 2: Convert to fraction form
    2,634.91/3,652.82 = 2,494.46/x
  3. Step 3: Cross multiply
    2,634.91x = 3,652.82 × 2,494.46
  4. Step 4: Simplify right side
    2,634.91x = 9,111,819.39
  5. Step 5: Solve for x
    x = 9,111,819.39/2,634.91
  6. Step 6: Final answer
    x = 3,458.12

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.