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Finding the Fourth Proportional to 2,768.06, 4,150.92 and 918.68

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Solution

The fourth proportional to 2,768.06, 4,150.92 and 918.68 is: 1,377.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.06 : 4,150.92 = 918.68 : x
  2. Step 2: Convert to fraction form
    2,768.06/4,150.92 = 918.68/x
  3. Step 3: Cross multiply
    2,768.06x = 4,150.92 × 918.68
  4. Step 4: Simplify right side
    2,768.06x = 3,813,367.19
  5. Step 5: Solve for x
    x = 3,813,367.19/2,768.06
  6. Step 6: Final answer
    x = 1,377.63

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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.