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Finding the Fourth Proportional to 2,410.96, 3,613.68 and 1,022.26

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Solution

The fourth proportional to 2,410.96, 3,613.68 and 1,022.26 is: 1,532.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.96 : 3,613.68 = 1,022.26 : x
  2. Step 2: Convert to fraction form
    2,410.96/3,613.68 = 1,022.26/x
  3. Step 3: Cross multiply
    2,410.96x = 3,613.68 × 1,022.26
  4. Step 4: Simplify right side
    2,410.96x = 3,694,120.52
  5. Step 5: Solve for x
    x = 3,694,120.52/2,410.96
  6. Step 6: Final answer
    x = 1,532.22

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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.