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Finding the Fourth Proportional to 1,999.41, 2,759.19 and 1,115.19

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Solution

The fourth proportional to 1,999.41, 2,759.19 and 1,115.19 is: 1,538.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.41 : 2,759.19 = 1,115.19 : x
  2. Step 2: Convert to fraction form
    1,999.41/2,759.19 = 1,115.19/x
  3. Step 3: Cross multiply
    1,999.41x = 2,759.19 × 1,115.19
  4. Step 4: Simplify right side
    1,999.41x = 3,077,021.10
  5. Step 5: Solve for x
    x = 3,077,021.10/1,999.41
  6. Step 6: Final answer
    x = 1,538.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.