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Finding the Fourth Proportional to 1,769.80, 2,436.72 and 1,469.86

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Solution

The fourth proportional to 1,769.80, 2,436.72 and 1,469.86 is: 2,023.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.80 : 2,436.72 = 1,469.86 : x
  2. Step 2: Convert to fraction form
    1,769.80/2,436.72 = 1,469.86/x
  3. Step 3: Cross multiply
    1,769.80x = 2,436.72 × 1,469.86
  4. Step 4: Simplify right side
    1,769.80x = 3,581,637.26
  5. Step 5: Solve for x
    x = 3,581,637.26/1,769.80
  6. Step 6: Final answer
    x = 2,023.75

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