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Finding the Fourth Proportional to 2,399.67, 3,578.46 and 2,377.77

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Solution

The fourth proportional to 2,399.67, 3,578.46 and 2,377.77 is: 3,545.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399.67 : 3,578.46 = 2,377.77 : x
  2. Step 2: Convert to fraction form
    2,399.67/3,578.46 = 2,377.77/x
  3. Step 3: Cross multiply
    2,399.67x = 3,578.46 × 2,377.77
  4. Step 4: Simplify right side
    2,399.67x = 8,508,754.83
  5. Step 5: Solve for x
    x = 8,508,754.83/2,399.67
  6. Step 6: Final answer
    x = 3,545.80

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.