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Finding the Fourth Proportional to 2,296.60, 3,169.44 and 1,301.71

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Solution

The fourth proportional to 2,296.60, 3,169.44 and 1,301.71 is: 1,796.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.60 : 3,169.44 = 1,301.71 : x
  2. Step 2: Convert to fraction form
    2,296.60/3,169.44 = 1,301.71/x
  3. Step 3: Cross multiply
    2,296.60x = 3,169.44 × 1,301.71
  4. Step 4: Simplify right side
    2,296.60x = 4,125,691.74
  5. Step 5: Solve for x
    x = 4,125,691.74/2,296.60
  6. Step 6: Final answer
    x = 1,796.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.