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Finding the Fourth Proportional to 2,578.50, 3,883.31 and 2,289.66

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Solution

The fourth proportional to 2,578.50, 3,883.31 and 2,289.66 is: 3,448.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.50 : 3,883.31 = 2,289.66 : x
  2. Step 2: Convert to fraction form
    2,578.50/3,883.31 = 2,289.66/x
  3. Step 3: Cross multiply
    2,578.50x = 3,883.31 × 2,289.66
  4. Step 4: Simplify right side
    2,578.50x = 8,891,448.13
  5. Step 5: Solve for x
    x = 8,891,448.13/2,578.50
  6. Step 6: Final answer
    x = 3,448.30

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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.