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Finding the Fourth Proportional to 2,846.76, 4,269.62 and 766.92

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Solution

The fourth proportional to 2,846.76, 4,269.62 and 766.92 is: 1,150.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.76 : 4,269.62 = 766.92 : x
  2. Step 2: Convert to fraction form
    2,846.76/4,269.62 = 766.92/x
  3. Step 3: Cross multiply
    2,846.76x = 4,269.62 × 766.92
  4. Step 4: Simplify right side
    2,846.76x = 3,274,456.97
  5. Step 5: Solve for x
    x = 3,274,456.97/2,846.76
  6. Step 6: Final answer
    x = 1,150.24

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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.