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Finding the Fourth Proportional to 3,002.78, 4,504.26 and 2,177.12

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Solution

The fourth proportional to 3,002.78, 4,504.26 and 2,177.12 is: 3,265.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.78 : 4,504.26 = 2,177.12 : x
  2. Step 2: Convert to fraction form
    3,002.78/4,504.26 = 2,177.12/x
  3. Step 3: Cross multiply
    3,002.78x = 4,504.26 × 2,177.12
  4. Step 4: Simplify right side
    3,002.78x = 9,806,314.53
  5. Step 5: Solve for x
    x = 9,806,314.53/3,002.78
  6. Step 6: Final answer
    x = 3,265.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.