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Finding the Fourth Proportional to 2,710.71, 4,066.07 and 1,067.42

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Solution

The fourth proportional to 2,710.71, 4,066.07 and 1,067.42 is: 1,601.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.71 : 4,066.07 = 1,067.42 : x
  2. Step 2: Convert to fraction form
    2,710.71/4,066.07 = 1,067.42/x
  3. Step 3: Cross multiply
    2,710.71x = 4,066.07 × 1,067.42
  4. Step 4: Simplify right side
    2,710.71x = 4,340,209.27
  5. Step 5: Solve for x
    x = 4,340,209.27/2,710.71
  6. Step 6: Final answer
    x = 1,601.13

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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.