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Finding the Fourth Proportional to 2,067.86, 3,101.80 and 507.85

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Solution

The fourth proportional to 2,067.86, 3,101.80 and 507.85 is: 761.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.86 : 3,101.80 = 507.85 : x
  2. Step 2: Convert to fraction form
    2,067.86/3,101.80 = 507.85/x
  3. Step 3: Cross multiply
    2,067.86x = 3,101.80 × 507.85
  4. Step 4: Simplify right side
    2,067.86x = 1,575,252.32
  5. Step 5: Solve for x
    x = 1,575,252.32/2,067.86
  6. Step 6: Final answer
    x = 761.78

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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.