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Finding the Fourth Proportional to 2,146.12, 3,219.21 and 759.43

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Solution

The fourth proportional to 2,146.12, 3,219.21 and 759.43 is: 1,139.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.12 : 3,219.21 = 759.43 : x
  2. Step 2: Convert to fraction form
    2,146.12/3,219.21 = 759.43/x
  3. Step 3: Cross multiply
    2,146.12x = 3,219.21 × 759.43
  4. Step 4: Simplify right side
    2,146.12x = 2,444,764.65
  5. Step 5: Solve for x
    x = 2,444,764.65/2,146.12
  6. Step 6: Final answer
    x = 1,139.16

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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.