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Finding the Fourth Proportional to 2,293.06, 3,439.53 and 733.15

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Solution

The fourth proportional to 2,293.06, 3,439.53 and 733.15 is: 1,099.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.06 : 3,439.53 = 733.15 : x
  2. Step 2: Convert to fraction form
    2,293.06/3,439.53 = 733.15/x
  3. Step 3: Cross multiply
    2,293.06x = 3,439.53 × 733.15
  4. Step 4: Simplify right side
    2,293.06x = 2,521,695.72
  5. Step 5: Solve for x
    x = 2,521,695.72/2,293.06
  6. Step 6: Final answer
    x = 1,099.71

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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.