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Finding the Fourth Proportional to 2,277.66, 3,416.81 and 2,236.96

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Solution

The fourth proportional to 2,277.66, 3,416.81 and 2,236.96 is: 3,355.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.66 : 3,416.81 = 2,236.96 : x
  2. Step 2: Convert to fraction form
    2,277.66/3,416.81 = 2,236.96/x
  3. Step 3: Cross multiply
    2,277.66x = 3,416.81 × 2,236.96
  4. Step 4: Simplify right side
    2,277.66x = 7,643,267.30
  5. Step 5: Solve for x
    x = 7,643,267.30/2,277.66
  6. Step 6: Final answer
    x = 3,355.75

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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.