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Finding the Fourth Proportional to 2,186.01, 3,278.97 and 542.52

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Solution

The fourth proportional to 2,186.01, 3,278.97 and 542.52 is: 813.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.01 : 3,278.97 = 542.52 : x
  2. Step 2: Convert to fraction form
    2,186.01/3,278.97 = 542.52/x
  3. Step 3: Cross multiply
    2,186.01x = 3,278.97 × 542.52
  4. Step 4: Simplify right side
    2,186.01x = 1,778,906.80
  5. Step 5: Solve for x
    x = 1,778,906.80/2,186.01
  6. Step 6: Final answer
    x = 813.77

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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.