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Finding the Fourth Proportional to 1,390.26, 2,069.03 and 1,338.42

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Solution

The fourth proportional to 1,390.26, 2,069.03 and 1,338.42 is: 1,991.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.26 : 2,069.03 = 1,338.42 : x
  2. Step 2: Convert to fraction form
    1,390.26/2,069.03 = 1,338.42/x
  3. Step 3: Cross multiply
    1,390.26x = 2,069.03 × 1,338.42
  4. Step 4: Simplify right side
    1,390.26x = 2,769,231.13
  5. Step 5: Solve for x
    x = 2,769,231.13/1,390.26
  6. Step 6: Final answer
    x = 1,991.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.