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Finding the Fourth Proportional to 1,999.42, 2,759.23 and 1,115.31

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Solution

The fourth proportional to 1,999.42, 2,759.23 and 1,115.31 is: 1,539.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.42 : 2,759.23 = 1,115.31 : x
  2. Step 2: Convert to fraction form
    1,999.42/2,759.23 = 1,115.31/x
  3. Step 3: Cross multiply
    1,999.42x = 2,759.23 × 1,115.31
  4. Step 4: Simplify right side
    1,999.42x = 3,077,396.81
  5. Step 5: Solve for x
    x = 3,077,396.81/1,999.42
  6. Step 6: Final answer
    x = 1,539.14

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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.