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Finding the Fourth Proportional to 1,493.31, 2,240.79 and 723.81

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Solution

The fourth proportional to 1,493.31, 2,240.79 and 723.81 is: 1,086.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.31 : 2,240.79 = 723.81 : x
  2. Step 2: Convert to fraction form
    1,493.31/2,240.79 = 723.81/x
  3. Step 3: Cross multiply
    1,493.31x = 2,240.79 × 723.81
  4. Step 4: Simplify right side
    1,493.31x = 1,621,906.21
  5. Step 5: Solve for x
    x = 1,621,906.21/1,493.31
  6. Step 6: Final answer
    x = 1,086.11

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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.