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Finding the Fourth Proportional to 2,146.62, 2,940.13 and 2,020.53

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Solution

The fourth proportional to 2,146.62, 2,940.13 and 2,020.53 is: 2,767.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.62 : 2,940.13 = 2,020.53 : x
  2. Step 2: Convert to fraction form
    2,146.62/2,940.13 = 2,020.53/x
  3. Step 3: Cross multiply
    2,146.62x = 2,940.13 × 2,020.53
  4. Step 4: Simplify right side
    2,146.62x = 5,940,617.88
  5. Step 5: Solve for x
    x = 5,940,617.88/2,146.62
  6. Step 6: Final answer
    x = 2,767.43

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.