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Finding the Fourth Proportional to 1,428.81, 2,138.22 and 1,197.96

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Solution

The fourth proportional to 1,428.81, 2,138.22 and 1,197.96 is: 1,792.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.81 : 2,138.22 = 1,197.96 : x
  2. Step 2: Convert to fraction form
    1,428.81/2,138.22 = 1,197.96/x
  3. Step 3: Cross multiply
    1,428.81x = 2,138.22 × 1,197.96
  4. Step 4: Simplify right side
    1,428.81x = 2,561,502.03
  5. Step 5: Solve for x
    x = 2,561,502.03/1,428.81
  6. Step 6: Final answer
    x = 1,792.75

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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.