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Finding the Fourth Proportional to 1,947.92, 2,919.32 and 793.04

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Solution

The fourth proportional to 1,947.92, 2,919.32 and 793.04 is: 1,188.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947.92 : 2,919.32 = 793.04 : x
  2. Step 2: Convert to fraction form
    1,947.92/2,919.32 = 793.04/x
  3. Step 3: Cross multiply
    1,947.92x = 2,919.32 × 793.04
  4. Step 4: Simplify right side
    1,947.92x = 2,315,137.53
  5. Step 5: Solve for x
    x = 2,315,137.53/1,947.92
  6. Step 6: Final answer
    x = 1,188.52

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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.