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Finding the Fourth Proportional to 2,410.95, 3,616.73 and 850.83

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Solution

The fourth proportional to 2,410.95, 3,616.73 and 850.83 is: 1,276.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.95 : 3,616.73 = 850.83 : x
  2. Step 2: Convert to fraction form
    2,410.95/3,616.73 = 850.83/x
  3. Step 3: Cross multiply
    2,410.95x = 3,616.73 × 850.83
  4. Step 4: Simplify right side
    2,410.95x = 3,077,218.13
  5. Step 5: Solve for x
    x = 3,077,218.13/2,410.95
  6. Step 6: Final answer
    x = 1,276.35

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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.