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Finding the Fourth Proportional to 2,468, 3,703.82 and 1,169.47

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Solution

The fourth proportional to 2,468, 3,703.82 and 1,169.47 is: 1,755.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468 : 3,703.82 = 1,169.47 : x
  2. Step 2: Convert to fraction form
    2,468/3,703.82 = 1,169.47/x
  3. Step 3: Cross multiply
    2,468x = 3,703.82 × 1,169.47
  4. Step 4: Simplify right side
    2,468x = 4,331,506.38
  5. Step 5: Solve for x
    x = 4,331,506.38/2,468
  6. Step 6: Final answer
    x = 1,755.07

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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.