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Finding the Fourth Proportional to 3,315.96, 4,578.76 and 2,255.97

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Solution

The fourth proportional to 3,315.96, 4,578.76 and 2,255.97 is: 3,115.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,315.96 : 4,578.76 = 2,255.97 : x
  2. Step 2: Convert to fraction form
    3,315.96/4,578.76 = 2,255.97/x
  3. Step 3: Cross multiply
    3,315.96x = 4,578.76 × 2,255.97
  4. Step 4: Simplify right side
    3,315.96x = 10,329,545.20
  5. Step 5: Solve for x
    x = 10,329,545.20/3,315.96
  6. Step 6: Final answer
    x = 3,115.10

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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.