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Finding the Fourth Proportional to 2,974.79, 4,453.98 and 2,242.15

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Solution

The fourth proportional to 2,974.79, 4,453.98 and 2,242.15 is: 3,357.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.79 : 4,453.98 = 2,242.15 : x
  2. Step 2: Convert to fraction form
    2,974.79/4,453.98 = 2,242.15/x
  3. Step 3: Cross multiply
    2,974.79x = 4,453.98 × 2,242.15
  4. Step 4: Simplify right side
    2,974.79x = 9,986,471.71
  5. Step 5: Solve for x
    x = 9,986,471.71/2,974.79
  6. Step 6: Final answer
    x = 3,357.03

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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.