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Finding the Fourth Proportional to 1,769.87, 2,652.04 and 1,119.23

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Solution

The fourth proportional to 1,769.87, 2,652.04 and 1,119.23 is: 1,677.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.87 : 2,652.04 = 1,119.23 : x
  2. Step 2: Convert to fraction form
    1,769.87/2,652.04 = 1,119.23/x
  3. Step 3: Cross multiply
    1,769.87x = 2,652.04 × 1,119.23
  4. Step 4: Simplify right side
    1,769.87x = 2,968,255.73
  5. Step 5: Solve for x
    x = 2,968,255.73/1,769.87
  6. Step 6: Final answer
    x = 1,677.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.