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Finding the Fourth Proportional to 3,372.64, 4,652.72 and 1,974.80

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Solution

The fourth proportional to 3,372.64, 4,652.72 and 1,974.80 is: 2,724.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,372.64 : 4,652.72 = 1,974.80 : x
  2. Step 2: Convert to fraction form
    3,372.64/4,652.72 = 1,974.80/x
  3. Step 3: Cross multiply
    3,372.64x = 4,652.72 × 1,974.80
  4. Step 4: Simplify right side
    3,372.64x = 9,188,191.46
  5. Step 5: Solve for x
    x = 9,188,191.46/3,372.64
  6. Step 6: Final answer
    x = 2,724.33

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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.