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Finding the Fourth Proportional to 1,769.40, 2,440.98 and 1,139.81

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Solution

The fourth proportional to 1,769.40, 2,440.98 and 1,139.81 is: 1,572.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.40 : 2,440.98 = 1,139.81 : x
  2. Step 2: Convert to fraction form
    1,769.40/2,440.98 = 1,139.81/x
  3. Step 3: Cross multiply
    1,769.40x = 2,440.98 × 1,139.81
  4. Step 4: Simplify right side
    1,769.40x = 2,782,241.21
  5. Step 5: Solve for x
    x = 2,782,241.21/1,769.40
  6. Step 6: Final answer
    x = 1,572.42

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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.