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Finding the Fourth Proportional to 2,081.68, 3,122.55 and 542.68

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Solution

The fourth proportional to 2,081.68, 3,122.55 and 542.68 is: 814.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.68 : 3,122.55 = 542.68 : x
  2. Step 2: Convert to fraction form
    2,081.68/3,122.55 = 542.68/x
  3. Step 3: Cross multiply
    2,081.68x = 3,122.55 × 542.68
  4. Step 4: Simplify right side
    2,081.68x = 1,694,537.63
  5. Step 5: Solve for x
    x = 1,694,537.63/2,081.68
  6. Step 6: Final answer
    x = 814.03

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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.