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Finding the Fourth Proportional to 2,974.46, 4,468.17 and 2,427.98

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Solution

The fourth proportional to 2,974.46, 4,468.17 and 2,427.98 is: 3,647.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.46 : 4,468.17 = 2,427.98 : x
  2. Step 2: Convert to fraction form
    2,974.46/4,468.17 = 2,427.98/x
  3. Step 3: Cross multiply
    2,974.46x = 4,468.17 × 2,427.98
  4. Step 4: Simplify right side
    2,974.46x = 10,848,627.40
  5. Step 5: Solve for x
    x = 10,848,627.40/2,974.46
  6. Step 6: Final answer
    x = 3,647.26

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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.