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Finding the Fourth Proportional to 2,293.54, 3,440.72 and 733.14

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Solution

The fourth proportional to 2,293.54, 3,440.72 and 733.14 is: 1,099.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.54 : 3,440.72 = 733.14 : x
  2. Step 2: Convert to fraction form
    2,293.54/3,440.72 = 733.14/x
  3. Step 3: Cross multiply
    2,293.54x = 3,440.72 × 733.14
  4. Step 4: Simplify right side
    2,293.54x = 2,522,531.29
  5. Step 5: Solve for x
    x = 2,522,531.29/2,293.54
  6. Step 6: Final answer
    x = 1,099.84

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.