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Finding the Fourth Proportional to 2,580.75, 3,570.82 and 2,249.87

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Solution

The fourth proportional to 2,580.75, 3,570.82 and 2,249.87 is: 3,112.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580.75 : 3,570.82 = 2,249.87 : x
  2. Step 2: Convert to fraction form
    2,580.75/3,570.82 = 2,249.87/x
  3. Step 3: Cross multiply
    2,580.75x = 3,570.82 × 2,249.87
  4. Step 4: Simplify right side
    2,580.75x = 8,033,857.31
  5. Step 5: Solve for x
    x = 8,033,857.31/2,580.75
  6. Step 6: Final answer
    x = 3,112.99

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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.