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Finding the Fourth Proportional to 2,339.82, 3,229.02 and 1,291.86

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Solution

The fourth proportional to 2,339.82, 3,229.02 and 1,291.86 is: 1,782.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,339.82 : 3,229.02 = 1,291.86 : x
  2. Step 2: Convert to fraction form
    2,339.82/3,229.02 = 1,291.86/x
  3. Step 3: Cross multiply
    2,339.82x = 3,229.02 × 1,291.86
  4. Step 4: Simplify right side
    2,339.82x = 4,171,441.78
  5. Step 5: Solve for x
    x = 4,171,441.78/2,339.82
  6. Step 6: Final answer
    x = 1,782.80

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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.