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Finding the Fourth Proportional to 2,569.85, 3,553.31 and 2,241.80

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Solution

The fourth proportional to 2,569.85, 3,553.31 and 2,241.80 is: 3,099.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.85 : 3,553.31 = 2,241.80 : x
  2. Step 2: Convert to fraction form
    2,569.85/3,553.31 = 2,241.80/x
  3. Step 3: Cross multiply
    2,569.85x = 3,553.31 × 2,241.80
  4. Step 4: Simplify right side
    2,569.85x = 7,965,810.36
  5. Step 5: Solve for x
    x = 7,965,810.36/2,569.85
  6. Step 6: Final answer
    x = 3,099.72

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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.