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Finding the Fourth Proportional to 2,067.88, 3,102.82 and 913.48

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Solution

The fourth proportional to 2,067.88, 3,102.82 and 913.48 is: 1,370.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.88 : 3,102.82 = 913.48 : x
  2. Step 2: Convert to fraction form
    2,067.88/3,102.82 = 913.48/x
  3. Step 3: Cross multiply
    2,067.88x = 3,102.82 × 913.48
  4. Step 4: Simplify right side
    2,067.88x = 2,834,364.01
  5. Step 5: Solve for x
    x = 2,834,364.01/2,067.88
  6. Step 6: Final answer
    x = 1,370.66

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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.