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Finding the Fourth Proportional to 2,146.06, 3,218.48 and 759.20

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Solution

The fourth proportional to 2,146.06, 3,218.48 and 759.20 is: 1,138.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.06 : 3,218.48 = 759.20 : x
  2. Step 2: Convert to fraction form
    2,146.06/3,218.48 = 759.20/x
  3. Step 3: Cross multiply
    2,146.06x = 3,218.48 × 759.20
  4. Step 4: Simplify right side
    2,146.06x = 2,443,470.02
  5. Step 5: Solve for x
    x = 2,443,470.02/2,146.06
  6. Step 6: Final answer
    x = 1,138.58

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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.