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Finding the Fourth Proportional to 2,630.39, 3,944.90 and 781.08

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Solution

The fourth proportional to 2,630.39, 3,944.90 and 781.08 is: 1,171.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,630.39 : 3,944.90 = 781.08 : x
  2. Step 2: Convert to fraction form
    2,630.39/3,944.90 = 781.08/x
  3. Step 3: Cross multiply
    2,630.39x = 3,944.90 × 781.08
  4. Step 4: Simplify right side
    2,630.39x = 3,081,278.59
  5. Step 5: Solve for x
    x = 3,081,278.59/2,630.39
  6. Step 6: Final answer
    x = 1,171.42

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