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Finding the Fourth Proportional to 2,410.12, 3,614.40 and 766.60

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Solution

The fourth proportional to 2,410.12, 3,614.40 and 766.60 is: 1,149.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.12 : 3,614.40 = 766.60 : x
  2. Step 2: Convert to fraction form
    2,410.12/3,614.40 = 766.60/x
  3. Step 3: Cross multiply
    2,410.12x = 3,614.40 × 766.60
  4. Step 4: Simplify right side
    2,410.12x = 2,770,799.04
  5. Step 5: Solve for x
    x = 2,770,799.04/2,410.12
  6. Step 6: Final answer
    x = 1,149.65

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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.