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Finding the Fourth Proportional to 1,441.92, 1,989.82 and 803.85

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Solution

The fourth proportional to 1,441.92, 1,989.82 and 803.85 is: 1,109.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441.92 : 1,989.82 = 803.85 : x
  2. Step 2: Convert to fraction form
    1,441.92/1,989.82 = 803.85/x
  3. Step 3: Cross multiply
    1,441.92x = 1,989.82 × 803.85
  4. Step 4: Simplify right side
    1,441.92x = 1,599,516.81
  5. Step 5: Solve for x
    x = 1,599,516.81/1,441.92
  6. Step 6: Final answer
    x = 1,109.30

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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.