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Finding the Fourth Proportional to 2,144.86, 3,216.90 and 759.22

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Solution

The fourth proportional to 2,144.86, 3,216.90 and 759.22 is: 1,138.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.86 : 3,216.90 = 759.22 : x
  2. Step 2: Convert to fraction form
    2,144.86/3,216.90 = 759.22/x
  3. Step 3: Cross multiply
    2,144.86x = 3,216.90 × 759.22
  4. Step 4: Simplify right side
    2,144.86x = 2,442,334.82
  5. Step 5: Solve for x
    x = 2,442,334.82/2,144.86
  6. Step 6: Final answer
    x = 1,138.69

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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.