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Finding the Fourth Proportional to 2,711.51, 4,065.10 and 1,067.75

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Solution

The fourth proportional to 2,711.51, 4,065.10 and 1,067.75 is: 1,600.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.51 : 4,065.10 = 1,067.75 : x
  2. Step 2: Convert to fraction form
    2,711.51/4,065.10 = 1,067.75/x
  3. Step 3: Cross multiply
    2,711.51x = 4,065.10 × 1,067.75
  4. Step 4: Simplify right side
    2,711.51x = 4,340,510.53
  5. Step 5: Solve for x
    x = 4,340,510.53/2,711.51
  6. Step 6: Final answer
    x = 1,600.77

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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.