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Finding the Fourth Proportional to 2,468.82, 3,704.14 and 1,169.38

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Solution

The fourth proportional to 2,468.82, 3,704.14 and 1,169.38 is: 1,754.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.82 : 3,704.14 = 1,169.38 : x
  2. Step 2: Convert to fraction form
    2,468.82/3,704.14 = 1,169.38/x
  3. Step 3: Cross multiply
    2,468.82x = 3,704.14 × 1,169.38
  4. Step 4: Simplify right side
    2,468.82x = 4,331,528.71
  5. Step 5: Solve for x
    x = 4,331,528.71/2,468.82
  6. Step 6: Final answer
    x = 1,754.49

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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.