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Finding the Fourth Proportional to 2,183.96, 3,277.66 and 886.34

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Solution

The fourth proportional to 2,183.96, 3,277.66 and 886.34 is: 1,330.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.96 : 3,277.66 = 886.34 : x
  2. Step 2: Convert to fraction form
    2,183.96/3,277.66 = 886.34/x
  3. Step 3: Cross multiply
    2,183.96x = 3,277.66 × 886.34
  4. Step 4: Simplify right side
    2,183.96x = 2,905,121.16
  5. Step 5: Solve for x
    x = 2,905,121.16/2,183.96
  6. Step 6: Final answer
    x = 1,330.21

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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.