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Finding the Fourth Proportional to 2,569.77, 3,851.37 and 2,223.09

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Solution

The fourth proportional to 2,569.77, 3,851.37 and 2,223.09 is: 3,331.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.77 : 3,851.37 = 2,223.09 : x
  2. Step 2: Convert to fraction form
    2,569.77/3,851.37 = 2,223.09/x
  3. Step 3: Cross multiply
    2,569.77x = 3,851.37 × 2,223.09
  4. Step 4: Simplify right side
    2,569.77x = 8,561,942.13
  5. Step 5: Solve for x
    x = 8,561,942.13/2,569.77
  6. Step 6: Final answer
    x = 3,331.79

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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.