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Finding the Fourth Proportional to 2,145.24, 3,218.87 and 759.62

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Solution

The fourth proportional to 2,145.24, 3,218.87 and 759.62 is: 1,139.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.24 : 3,218.87 = 759.62 : x
  2. Step 2: Convert to fraction form
    2,145.24/3,218.87 = 759.62/x
  3. Step 3: Cross multiply
    2,145.24x = 3,218.87 × 759.62
  4. Step 4: Simplify right side
    2,145.24x = 2,445,122.28
  5. Step 5: Solve for x
    x = 2,445,122.28/2,145.24
  6. Step 6: Final answer
    x = 1,139.79

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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.