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Finding the Fourth Proportional to 1,366, 1,880.92 and 1,169.08

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Solution

The fourth proportional to 1,366, 1,880.92 and 1,169.08 is: 1,609.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366 : 1,880.92 = 1,169.08 : x
  2. Step 2: Convert to fraction form
    1,366/1,880.92 = 1,169.08/x
  3. Step 3: Cross multiply
    1,366x = 1,880.92 × 1,169.08
  4. Step 4: Simplify right side
    1,366x = 2,198,945.95
  5. Step 5: Solve for x
    x = 2,198,945.95/1,366
  6. Step 6: Final answer
    x = 1,609.77

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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.