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Finding the Fourth Proportional to 3,144.82, 4,707.37 and 2,032.76

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Solution

The fourth proportional to 3,144.82, 4,707.37 and 2,032.76 is: 3,042.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.82 : 4,707.37 = 2,032.76 : x
  2. Step 2: Convert to fraction form
    3,144.82/4,707.37 = 2,032.76/x
  3. Step 3: Cross multiply
    3,144.82x = 4,707.37 × 2,032.76
  4. Step 4: Simplify right side
    3,144.82x = 9,568,919.74
  5. Step 5: Solve for x
    x = 9,568,919.74/3,144.82
  6. Step 6: Final answer
    x = 3,042.76

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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.