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Finding the Fourth Proportional to 2,706.52, 4,059.78 and 2,091.12

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Solution

The fourth proportional to 2,706.52, 4,059.78 and 2,091.12 is: 3,136.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.52 : 4,059.78 = 2,091.12 : x
  2. Step 2: Convert to fraction form
    2,706.52/4,059.78 = 2,091.12/x
  3. Step 3: Cross multiply
    2,706.52x = 4,059.78 × 2,091.12
  4. Step 4: Simplify right side
    2,706.52x = 8,489,487.15
  5. Step 5: Solve for x
    x = 8,489,487.15/2,706.52
  6. Step 6: Final answer
    x = 3,136.68

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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.