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Finding the Fourth Proportional to 2,707.75, 4,062.33 and 1,147.82

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Solution

The fourth proportional to 2,707.75, 4,062.33 and 1,147.82 is: 1,722.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.75 : 4,062.33 = 1,147.82 : x
  2. Step 2: Convert to fraction form
    2,707.75/4,062.33 = 1,147.82/x
  3. Step 3: Cross multiply
    2,707.75x = 4,062.33 × 1,147.82
  4. Step 4: Simplify right side
    2,707.75x = 4,662,833.78
  5. Step 5: Solve for x
    x = 4,662,833.78/2,707.75
  6. Step 6: Final answer
    x = 1,722.03

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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.