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Finding the Fourth Proportional to 2,147.75, 3,218.74 and 914.83

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Solution

The fourth proportional to 2,147.75, 3,218.74 and 914.83 is: 1,371.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.75 : 3,218.74 = 914.83 : x
  2. Step 2: Convert to fraction form
    2,147.75/3,218.74 = 914.83/x
  3. Step 3: Cross multiply
    2,147.75x = 3,218.74 × 914.83
  4. Step 4: Simplify right side
    2,147.75x = 2,944,589.58
  5. Step 5: Solve for x
    x = 2,944,589.58/2,147.75
  6. Step 6: Final answer
    x = 1,371.01

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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.