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Finding the Fourth Proportional to 1,238.87, 1,869.54 and 1,197.56

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Solution

The fourth proportional to 1,238.87, 1,869.54 and 1,197.56 is: 1,807.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.87 : 1,869.54 = 1,197.56 : x
  2. Step 2: Convert to fraction form
    1,238.87/1,869.54 = 1,197.56/x
  3. Step 3: Cross multiply
    1,238.87x = 1,869.54 × 1,197.56
  4. Step 4: Simplify right side
    1,238.87x = 2,238,876.97
  5. Step 5: Solve for x
    x = 2,238,876.97/1,238.87
  6. Step 6: Final answer
    x = 1,807.20

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.