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Finding the Fourth Proportional to 2,747.26, 4,120.88 and 695.26

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Solution

The fourth proportional to 2,747.26, 4,120.88 and 695.26 is: 1,042.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.26 : 4,120.88 = 695.26 : x
  2. Step 2: Convert to fraction form
    2,747.26/4,120.88 = 695.26/x
  3. Step 3: Cross multiply
    2,747.26x = 4,120.88 × 695.26
  4. Step 4: Simplify right side
    2,747.26x = 2,865,083.03
  5. Step 5: Solve for x
    x = 2,865,083.03/2,747.26
  6. Step 6: Final answer
    x = 1,042.89

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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.