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Finding the Fourth Proportional to 2,578.46, 3,867.57 and 630.56

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Solution

The fourth proportional to 2,578.46, 3,867.57 and 630.56 is: 945.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.46 : 3,867.57 = 630.56 : x
  2. Step 2: Convert to fraction form
    2,578.46/3,867.57 = 630.56/x
  3. Step 3: Cross multiply
    2,578.46x = 3,867.57 × 630.56
  4. Step 4: Simplify right side
    2,578.46x = 2,438,734.94
  5. Step 5: Solve for x
    x = 2,438,734.94/2,578.46
  6. Step 6: Final answer
    x = 945.81

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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.