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Finding the Fourth Proportional to 1,245.73, 1,869.81 and 950.48

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Solution

The fourth proportional to 1,245.73, 1,869.81 and 950.48 is: 1,426.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.73 : 1,869.81 = 950.48 : x
  2. Step 2: Convert to fraction form
    1,245.73/1,869.81 = 950.48/x
  3. Step 3: Cross multiply
    1,245.73x = 1,869.81 × 950.48
  4. Step 4: Simplify right side
    1,245.73x = 1,777,217.01
  5. Step 5: Solve for x
    x = 1,777,217.01/1,245.73
  6. Step 6: Final answer
    x = 1,426.65

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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.