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Finding the Fourth Proportional to 1,494.20, 2,062.21 and 896.73

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Solution

The fourth proportional to 1,494.20, 2,062.21 and 896.73 is: 1,237.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.20 : 2,062.21 = 896.73 : x
  2. Step 2: Convert to fraction form
    1,494.20/2,062.21 = 896.73/x
  3. Step 3: Cross multiply
    1,494.20x = 2,062.21 × 896.73
  4. Step 4: Simplify right side
    1,494.20x = 1,849,243.33
  5. Step 5: Solve for x
    x = 1,849,243.33/1,494.20
  6. Step 6: Final answer
    x = 1,237.62

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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.