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Finding the Fourth Proportional to 2,410.45, 3,616.13 and 766.86

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Solution

The fourth proportional to 2,410.45, 3,616.13 and 766.86 is: 1,150.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.45 : 3,616.13 = 766.86 : x
  2. Step 2: Convert to fraction form
    2,410.45/3,616.13 = 766.86/x
  3. Step 3: Cross multiply
    2,410.45x = 3,616.13 × 766.86
  4. Step 4: Simplify right side
    2,410.45x = 2,773,065.45
  5. Step 5: Solve for x
    x = 2,773,065.45/2,410.45
  6. Step 6: Final answer
    x = 1,150.43

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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.