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Finding the Fourth Proportional to 2,011.73, 3,013.23 and 1,661.13

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Solution

The fourth proportional to 2,011.73, 3,013.23 and 1,661.13 is: 2,488.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.73 : 3,013.23 = 1,661.13 : x
  2. Step 2: Convert to fraction form
    2,011.73/3,013.23 = 1,661.13/x
  3. Step 3: Cross multiply
    2,011.73x = 3,013.23 × 1,661.13
  4. Step 4: Simplify right side
    2,011.73x = 5,005,366.75
  5. Step 5: Solve for x
    x = 5,005,366.75/2,011.73
  6. Step 6: Final answer
    x = 2,488.09

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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.