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Finding the Fourth Proportional to 2,067.98, 3,101.96 and 507.98

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Solution

The fourth proportional to 2,067.98, 3,101.96 and 507.98 is: 761.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.98 : 3,101.96 = 507.98 : x
  2. Step 2: Convert to fraction form
    2,067.98/3,101.96 = 507.98/x
  3. Step 3: Cross multiply
    2,067.98x = 3,101.96 × 507.98
  4. Step 4: Simplify right side
    2,067.98x = 1,575,742.67
  5. Step 5: Solve for x
    x = 1,575,742.67/2,067.98
  6. Step 6: Final answer
    x = 761.97

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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.