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Finding the Fourth Proportional to 2,919.92, 4,380.51 and 839.76

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Solution

The fourth proportional to 2,919.92, 4,380.51 and 839.76 is: 1,259.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,919.92 : 4,380.51 = 839.76 : x
  2. Step 2: Convert to fraction form
    2,919.92/4,380.51 = 839.76/x
  3. Step 3: Cross multiply
    2,919.92x = 4,380.51 × 839.76
  4. Step 4: Simplify right side
    2,919.92x = 3,678,577.08
  5. Step 5: Solve for x
    x = 3,678,577.08/2,919.92
  6. Step 6: Final answer
    x = 1,259.82

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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.