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Finding the Fourth Proportional to 3,144.82, 4,340.03 and 1,747.57

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Solution

The fourth proportional to 3,144.82, 4,340.03 and 1,747.57 is: 2,411.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.82 : 4,340.03 = 1,747.57 : x
  2. Step 2: Convert to fraction form
    3,144.82/4,340.03 = 1,747.57/x
  3. Step 3: Cross multiply
    3,144.82x = 4,340.03 × 1,747.57
  4. Step 4: Simplify right side
    3,144.82x = 7,584,475.79
  5. Step 5: Solve for x
    x = 7,584,475.79/3,144.82
  6. Step 6: Final answer
    x = 2,411.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.