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Finding the Fourth Proportional to 2,974.80, 4,462.14 and 1,220.52

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Solution

The fourth proportional to 2,974.80, 4,462.14 and 1,220.52 is: 1,830.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.80 : 4,462.14 = 1,220.52 : x
  2. Step 2: Convert to fraction form
    2,974.80/4,462.14 = 1,220.52/x
  3. Step 3: Cross multiply
    2,974.80x = 4,462.14 × 1,220.52
  4. Step 4: Simplify right side
    2,974.80x = 5,446,131.11
  5. Step 5: Solve for x
    x = 5,446,131.11/2,974.80
  6. Step 6: Final answer
    x = 1,830.76

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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.