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Finding the Fourth Proportional to 2,740.91, 4,112.07 and 793.27

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Solution

The fourth proportional to 2,740.91, 4,112.07 and 793.27 is: 1,190.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.91 : 4,112.07 = 793.27 : x
  2. Step 2: Convert to fraction form
    2,740.91/4,112.07 = 793.27/x
  3. Step 3: Cross multiply
    2,740.91x = 4,112.07 × 793.27
  4. Step 4: Simplify right side
    2,740.91x = 3,261,981.77
  5. Step 5: Solve for x
    x = 3,261,981.77/2,740.91
  6. Step 6: Final answer
    x = 1,190.11

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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.