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Finding the Fourth Proportional to 2,024.40, 2,791.80 and 1,966.80

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Solution

The fourth proportional to 2,024.40, 2,791.80 and 1,966.80 is: 2,712.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.40 : 2,791.80 = 1,966.80 : x
  2. Step 2: Convert to fraction form
    2,024.40/2,791.80 = 1,966.80/x
  3. Step 3: Cross multiply
    2,024.40x = 2,791.80 × 1,966.80
  4. Step 4: Simplify right side
    2,024.40x = 5,490,912.24
  5. Step 5: Solve for x
    x = 5,490,912.24/2,024.40
  6. Step 6: Final answer
    x = 2,712.37

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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.