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Finding the Fourth Proportional to 1,919.97, 2,879.38 and 824.07

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Solution

The fourth proportional to 1,919.97, 2,879.38 and 824.07 is: 1,235.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919.97 : 2,879.38 = 824.07 : x
  2. Step 2: Convert to fraction form
    1,919.97/2,879.38 = 824.07/x
  3. Step 3: Cross multiply
    1,919.97x = 2,879.38 × 824.07
  4. Step 4: Simplify right side
    1,919.97x = 2,372,808.62
  5. Step 5: Solve for x
    x = 2,372,808.62/1,919.97
  6. Step 6: Final answer
    x = 1,235.86

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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.