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Finding the Fourth Proportional to 1,999.26, 2,999.43 and 1,134.18

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Solution

The fourth proportional to 1,999.26, 2,999.43 and 1,134.18 is: 1,701.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.26 : 2,999.43 = 1,134.18 : x
  2. Step 2: Convert to fraction form
    1,999.26/2,999.43 = 1,134.18/x
  3. Step 3: Cross multiply
    1,999.26x = 2,999.43 × 1,134.18
  4. Step 4: Simplify right side
    1,999.26x = 3,401,893.52
  5. Step 5: Solve for x
    x = 3,401,893.52/1,999.26
  6. Step 6: Final answer
    x = 1,701.58

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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.