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Finding the Fourth Proportional to 1,671.56, 2,306.79 and 1,083.12

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Solution

The fourth proportional to 1,671.56, 2,306.79 and 1,083.12 is: 1,494.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671.56 : 2,306.79 = 1,083.12 : x
  2. Step 2: Convert to fraction form
    1,671.56/2,306.79 = 1,083.12/x
  3. Step 3: Cross multiply
    1,671.56x = 2,306.79 × 1,083.12
  4. Step 4: Simplify right side
    1,671.56x = 2,498,530.38
  5. Step 5: Solve for x
    x = 2,498,530.38/1,671.56
  6. Step 6: Final answer
    x = 1,494.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.