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Finding the Fourth Proportional to 2,549.48, 3,515.42 and 2,447.42

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Solution

The fourth proportional to 2,549.48, 3,515.42 and 2,447.42 is: 3,374.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.48 : 3,515.42 = 2,447.42 : x
  2. Step 2: Convert to fraction form
    2,549.48/3,515.42 = 2,447.42/x
  3. Step 3: Cross multiply
    2,549.48x = 3,515.42 × 2,447.42
  4. Step 4: Simplify right side
    2,549.48x = 8,603,697.76
  5. Step 5: Solve for x
    x = 8,603,697.76/2,549.48
  6. Step 6: Final answer
    x = 3,374.69

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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.