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Finding the Fourth Proportional to 2,960.68, 4,442.50 and 1,974.16

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Solution

The fourth proportional to 2,960.68, 4,442.50 and 1,974.16 is: 2,962.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,960.68 : 4,442.50 = 1,974.16 : x
  2. Step 2: Convert to fraction form
    2,960.68/4,442.50 = 1,974.16/x
  3. Step 3: Cross multiply
    2,960.68x = 4,442.50 × 1,974.16
  4. Step 4: Simplify right side
    2,960.68x = 8,770,205.80
  5. Step 5: Solve for x
    x = 8,770,205.80/2,960.68
  6. Step 6: Final answer
    x = 2,962.23

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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.