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Finding the Fourth Proportional to 2,293.08, 3,439.89 and 733.17

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Solution

The fourth proportional to 2,293.08, 3,439.89 and 733.17 is: 1,099.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.08 : 3,439.89 = 733.17 : x
  2. Step 2: Convert to fraction form
    2,293.08/3,439.89 = 733.17/x
  3. Step 3: Cross multiply
    2,293.08x = 3,439.89 × 733.17
  4. Step 4: Simplify right side
    2,293.08x = 2,522,024.15
  5. Step 5: Solve for x
    x = 2,522,024.15/2,293.08
  6. Step 6: Final answer
    x = 1,099.84

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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.