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Finding the Fourth Proportional to 2,146.83, 3,219.42 and 759.91

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Solution

The fourth proportional to 2,146.83, 3,219.42 and 759.91 is: 1,139.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.83 : 3,219.42 = 759.91 : x
  2. Step 2: Convert to fraction form
    2,146.83/3,219.42 = 759.91/x
  3. Step 3: Cross multiply
    2,146.83x = 3,219.42 × 759.91
  4. Step 4: Simplify right side
    2,146.83x = 2,446,469.45
  5. Step 5: Solve for x
    x = 2,446,469.45/2,146.83
  6. Step 6: Final answer
    x = 1,139.57

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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.