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Finding the Fourth Proportional to 1,729.39, 2,385.79 and 1,169.65

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Solution

The fourth proportional to 1,729.39, 2,385.79 and 1,169.65 is: 1,613.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.39 : 2,385.79 = 1,169.65 : x
  2. Step 2: Convert to fraction form
    1,729.39/2,385.79 = 1,169.65/x
  3. Step 3: Cross multiply
    1,729.39x = 2,385.79 × 1,169.65
  4. Step 4: Simplify right side
    1,729.39x = 2,790,539.27
  5. Step 5: Solve for x
    x = 2,790,539.27/1,729.39
  6. Step 6: Final answer
    x = 1,613.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.