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Finding the Fourth Proportional to 2,567.92, 3,825.38 and 2,408.56

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Solution

The fourth proportional to 2,567.92, 3,825.38 and 2,408.56 is: 3,587.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.92 : 3,825.38 = 2,408.56 : x
  2. Step 2: Convert to fraction form
    2,567.92/3,825.38 = 2,408.56/x
  3. Step 3: Cross multiply
    2,567.92x = 3,825.38 × 2,408.56
  4. Step 4: Simplify right side
    2,567.92x = 9,213,657.25
  5. Step 5: Solve for x
    x = 9,213,657.25/2,567.92
  6. Step 6: Final answer
    x = 3,587.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.