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Finding the Fourth Proportional to 2,107.71, 3,160.04 and 1,067.24

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Solution

The fourth proportional to 2,107.71, 3,160.04 and 1,067.24 is: 1,600.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.71 : 3,160.04 = 1,067.24 : x
  2. Step 2: Convert to fraction form
    2,107.71/3,160.04 = 1,067.24/x
  3. Step 3: Cross multiply
    2,107.71x = 3,160.04 × 1,067.24
  4. Step 4: Simplify right side
    2,107.71x = 3,372,499.95
  5. Step 5: Solve for x
    x = 3,372,499.95/2,107.71
  6. Step 6: Final answer
    x = 1,600.08

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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.