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Finding the Fourth Proportional to 2,119.93, 3,177.95 and 820.42

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Solution

The fourth proportional to 2,119.93, 3,177.95 and 820.42 is: 1,229.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.93 : 3,177.95 = 820.42 : x
  2. Step 2: Convert to fraction form
    2,119.93/3,177.95 = 820.42/x
  3. Step 3: Cross multiply
    2,119.93x = 3,177.95 × 820.42
  4. Step 4: Simplify right side
    2,119.93x = 2,607,239.90
  5. Step 5: Solve for x
    x = 2,607,239.90/2,119.93
  6. Step 6: Final answer
    x = 1,229.87

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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.