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Finding the Fourth Proportional to 1,769.20, 2,441.52 and 1,023.20

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Solution

The fourth proportional to 1,769.20, 2,441.52 and 1,023.20 is: 1,412.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.20 : 2,441.52 = 1,023.20 : x
  2. Step 2: Convert to fraction form
    1,769.20/2,441.52 = 1,023.20/x
  3. Step 3: Cross multiply
    1,769.20x = 2,441.52 × 1,023.20
  4. Step 4: Simplify right side
    1,769.20x = 2,498,163.26
  5. Step 5: Solve for x
    x = 2,498,163.26/1,769.20
  6. Step 6: Final answer
    x = 1,412.03

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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.