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Finding the Fourth Proportional to 2,843.86, 4,281.14 and 2,557.77

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Solution

The fourth proportional to 2,843.86, 4,281.14 and 2,557.77 is: 3,850.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.86 : 4,281.14 = 2,557.77 : x
  2. Step 2: Convert to fraction form
    2,843.86/4,281.14 = 2,557.77/x
  3. Step 3: Cross multiply
    2,843.86x = 4,281.14 × 2,557.77
  4. Step 4: Simplify right side
    2,843.86x = 10,950,161.80
  5. Step 5: Solve for x
    x = 10,950,161.80/2,843.86
  6. Step 6: Final answer
    x = 3,850.46

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.