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Finding the Fourth Proportional to 2,563.78, 3,538.71 and 2,408.90

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Solution

The fourth proportional to 2,563.78, 3,538.71 and 2,408.90 is: 3,324.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.78 : 3,538.71 = 2,408.90 : x
  2. Step 2: Convert to fraction form
    2,563.78/3,538.71 = 2,408.90/x
  3. Step 3: Cross multiply
    2,563.78x = 3,538.71 × 2,408.90
  4. Step 4: Simplify right side
    2,563.78x = 8,524,398.52
  5. Step 5: Solve for x
    x = 8,524,398.52/2,563.78
  6. Step 6: Final answer
    x = 3,324.93

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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.