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Finding the Fourth Proportional to 2,073.97, 2,864.81 and 1,549.09

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Solution

The fourth proportional to 2,073.97, 2,864.81 and 1,549.09 is: 2,139.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.97 : 2,864.81 = 1,549.09 : x
  2. Step 2: Convert to fraction form
    2,073.97/2,864.81 = 1,549.09/x
  3. Step 3: Cross multiply
    2,073.97x = 2,864.81 × 1,549.09
  4. Step 4: Simplify right side
    2,073.97x = 4,437,840.78
  5. Step 5: Solve for x
    x = 4,437,840.78/2,073.97
  6. Step 6: Final answer
    x = 2,139.78

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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.