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Finding the Fourth Proportional to 2,288.43, 3,410.10 and 2,214.09

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Solution

The fourth proportional to 2,288.43, 3,410.10 and 2,214.09 is: 3,299.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.43 : 3,410.10 = 2,214.09 : x
  2. Step 2: Convert to fraction form
    2,288.43/3,410.10 = 2,214.09/x
  3. Step 3: Cross multiply
    2,288.43x = 3,410.10 × 2,214.09
  4. Step 4: Simplify right side
    2,288.43x = 7,550,268.31
  5. Step 5: Solve for x
    x = 7,550,268.31/2,288.43
  6. Step 6: Final answer
    x = 3,299.32

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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.