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Finding the Fourth Proportional to 1,426.97, 1,969.26 and 1,190.52

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Solution

The fourth proportional to 1,426.97, 1,969.26 and 1,190.52 is: 1,642.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.97 : 1,969.26 = 1,190.52 : x
  2. Step 2: Convert to fraction form
    1,426.97/1,969.26 = 1,190.52/x
  3. Step 3: Cross multiply
    1,426.97x = 1,969.26 × 1,190.52
  4. Step 4: Simplify right side
    1,426.97x = 2,344,443.42
  5. Step 5: Solve for x
    x = 2,344,443.42/1,426.97
  6. Step 6: Final answer
    x = 1,642.96

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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.