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Finding the Fourth Proportional to 2,734.73, 4,102.54 and 886.31

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Solution

The fourth proportional to 2,734.73, 4,102.54 and 886.31 is: 1,329.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.73 : 4,102.54 = 886.31 : x
  2. Step 2: Convert to fraction form
    2,734.73/4,102.54 = 886.31/x
  3. Step 3: Cross multiply
    2,734.73x = 4,102.54 × 886.31
  4. Step 4: Simplify right side
    2,734.73x = 3,636,122.23
  5. Step 5: Solve for x
    x = 3,636,122.23/2,734.73
  6. Step 6: Final answer
    x = 1,329.61

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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.