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Finding the Fourth Proportional to 2,067.96, 3,102.12 and 607.17

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Solution

The fourth proportional to 2,067.96, 3,102.12 and 607.17 is: 910.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.96 : 3,102.12 = 607.17 : x
  2. Step 2: Convert to fraction form
    2,067.96/3,102.12 = 607.17/x
  3. Step 3: Cross multiply
    2,067.96x = 3,102.12 × 607.17
  4. Step 4: Simplify right side
    2,067.96x = 1,883,514.20
  5. Step 5: Solve for x
    x = 1,883,514.20/2,067.96
  6. Step 6: Final answer
    x = 910.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.