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Finding the Fourth Proportional to 2,293.94, 3,439.86 and 733.64

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Solution

The fourth proportional to 2,293.94, 3,439.86 and 733.64 is: 1,100.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.94 : 3,439.86 = 733.64 : x
  2. Step 2: Convert to fraction form
    2,293.94/3,439.86 = 733.64/x
  3. Step 3: Cross multiply
    2,293.94x = 3,439.86 × 733.64
  4. Step 4: Simplify right side
    2,293.94x = 2,523,618.89
  5. Step 5: Solve for x
    x = 2,523,618.89/2,293.94
  6. Step 6: Final answer
    x = 1,100.12

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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.