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Finding the Fourth Proportional to 2,097.96, 3,144.25 and 866.24

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Solution

The fourth proportional to 2,097.96, 3,144.25 and 866.24 is: 1,298.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.96 : 3,144.25 = 866.24 : x
  2. Step 2: Convert to fraction form
    2,097.96/3,144.25 = 866.24/x
  3. Step 3: Cross multiply
    2,097.96x = 3,144.25 × 866.24
  4. Step 4: Simplify right side
    2,097.96x = 2,723,669.42
  5. Step 5: Solve for x
    x = 2,723,669.42/2,097.96
  6. Step 6: Final answer
    x = 1,298.25

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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.