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Finding the Fourth Proportional to 2,097.97, 3,149.01 and 1,599.75

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Solution

The fourth proportional to 2,097.97, 3,149.01 and 1,599.75 is: 2,401.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.97 : 3,149.01 = 1,599.75 : x
  2. Step 2: Convert to fraction form
    2,097.97/3,149.01 = 1,599.75/x
  3. Step 3: Cross multiply
    2,097.97x = 3,149.01 × 1,599.75
  4. Step 4: Simplify right side
    2,097.97x = 5,037,628.75
  5. Step 5: Solve for x
    x = 5,037,628.75/2,097.97
  6. Step 6: Final answer
    x = 2,401.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.