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Finding the Fourth Proportional to 1,919.80, 2,879.70 and 826.30

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Solution

The fourth proportional to 1,919.80, 2,879.70 and 826.30 is: 1,239.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919.80 : 2,879.70 = 826.30 : x
  2. Step 2: Convert to fraction form
    1,919.80/2,879.70 = 826.30/x
  3. Step 3: Cross multiply
    1,919.80x = 2,879.70 × 826.30
  4. Step 4: Simplify right side
    1,919.80x = 2,379,496.11
  5. Step 5: Solve for x
    x = 2,379,496.11/1,919.80
  6. Step 6: Final answer
    x = 1,239.45

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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.