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Finding the Fourth Proportional to 2,081.58, 3,122.16 and 542.58

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Solution

The fourth proportional to 2,081.58, 3,122.16 and 542.58 is: 813.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.58 : 3,122.16 = 542.58 : x
  2. Step 2: Convert to fraction form
    2,081.58/3,122.16 = 542.58/x
  3. Step 3: Cross multiply
    2,081.58x = 3,122.16 × 542.58
  4. Step 4: Simplify right side
    2,081.58x = 1,694,021.57
  5. Step 5: Solve for x
    x = 1,694,021.57/2,081.58
  6. Step 6: Final answer
    x = 813.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.