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Finding the Fourth Proportional to 2,410.22, 3,614.58 and 767.18

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Solution

The fourth proportional to 2,410.22, 3,614.58 and 767.18 is: 1,150.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.22 : 3,614.58 = 767.18 : x
  2. Step 2: Convert to fraction form
    2,410.22/3,614.58 = 767.18/x
  3. Step 3: Cross multiply
    2,410.22x = 3,614.58 × 767.18
  4. Step 4: Simplify right side
    2,410.22x = 2,773,033.48
  5. Step 5: Solve for x
    x = 2,773,033.48/2,410.22
  6. Step 6: Final answer
    x = 1,150.53

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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.