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Finding the Fourth Proportional to 2,149.29, 3,198.19 and 2,142.00

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Solution

The fourth proportional to 2,149.29, 3,198.19 and 2,142.00 is: 3,187.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.29 : 3,198.19 = 2,142.00 : x
  2. Step 2: Convert to fraction form
    2,149.29/3,198.19 = 2,142.00/x
  3. Step 3: Cross multiply
    2,149.29x = 3,198.19 × 2,142.00
  4. Step 4: Simplify right side
    2,149.29x = 6,850,506.99
  5. Step 5: Solve for x
    x = 6,850,506.99/2,149.29
  6. Step 6: Final answer
    x = 3,187.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.