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Finding the Fourth Proportional to 1,999.36, 3,016.88 and 1,919.52

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Solution

The fourth proportional to 1,999.36, 3,016.88 and 1,919.52 is: 2,896.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.36 : 3,016.88 = 1,919.52 : x
  2. Step 2: Convert to fraction form
    1,999.36/3,016.88 = 1,919.52/x
  3. Step 3: Cross multiply
    1,999.36x = 3,016.88 × 1,919.52
  4. Step 4: Simplify right side
    1,999.36x = 5,790,961.50
  5. Step 5: Solve for x
    x = 5,790,961.50/1,999.36
  6. Step 6: Final answer
    x = 2,896.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.