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Finding the Fourth Proportional to 2,067.54, 3,101.85 and 914.10

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Solution

The fourth proportional to 2,067.54, 3,101.85 and 914.10 is: 1,371.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.54 : 3,101.85 = 914.10 : x
  2. Step 2: Convert to fraction form
    2,067.54/3,101.85 = 914.10/x
  3. Step 3: Cross multiply
    2,067.54x = 3,101.85 × 914.10
  4. Step 4: Simplify right side
    2,067.54x = 2,835,401.09
  5. Step 5: Solve for x
    x = 2,835,401.09/2,067.54
  6. Step 6: Final answer
    x = 1,371.39

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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.