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Finding the Fourth Proportional to 1,966.03, 2,713.65 and 1,169.65

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Solution

The fourth proportional to 1,966.03, 2,713.65 and 1,169.65 is: 1,614.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.03 : 2,713.65 = 1,169.65 : x
  2. Step 2: Convert to fraction form
    1,966.03/2,713.65 = 1,169.65/x
  3. Step 3: Cross multiply
    1,966.03x = 2,713.65 × 1,169.65
  4. Step 4: Simplify right side
    1,966.03x = 3,174,020.72
  5. Step 5: Solve for x
    x = 3,174,020.72/1,966.03
  6. Step 6: Final answer
    x = 1,614.44

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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.