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Finding the Fourth Proportional to 2,974.56, 4,100.08 and 2,264.04

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Solution

The fourth proportional to 2,974.56, 4,100.08 and 2,264.04 is: 3,120.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.56 : 4,100.08 = 2,264.04 : x
  2. Step 2: Convert to fraction form
    2,974.56/4,100.08 = 2,264.04/x
  3. Step 3: Cross multiply
    2,974.56x = 4,100.08 × 2,264.04
  4. Step 4: Simplify right side
    2,974.56x = 9,282,745.12
  5. Step 5: Solve for x
    x = 9,282,745.12/2,974.56
  6. Step 6: Final answer
    x = 3,120.71

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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.