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Finding the Fourth Proportional to 1,769.80, 2,441.23 and 1,273.10

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Solution

The fourth proportional to 1,769.80, 2,441.23 and 1,273.10 is: 1,756.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.80 : 2,441.23 = 1,273.10 : x
  2. Step 2: Convert to fraction form
    1,769.80/2,441.23 = 1,273.10/x
  3. Step 3: Cross multiply
    1,769.80x = 2,441.23 × 1,273.10
  4. Step 4: Simplify right side
    1,769.80x = 3,107,911.34
  5. Step 5: Solve for x
    x = 3,107,911.34/1,769.80
  6. Step 6: Final answer
    x = 1,756.09

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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.