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Finding the Fourth Proportional to 2,186.75, 3,280.77 and 2,056.20

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Solution

The fourth proportional to 2,186.75, 3,280.77 and 2,056.20 is: 3,084.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.75 : 3,280.77 = 2,056.20 : x
  2. Step 2: Convert to fraction form
    2,186.75/3,280.77 = 2,056.20/x
  3. Step 3: Cross multiply
    2,186.75x = 3,280.77 × 2,056.20
  4. Step 4: Simplify right side
    2,186.75x = 6,745,919.27
  5. Step 5: Solve for x
    x = 6,745,919.27/2,186.75
  6. Step 6: Final answer
    x = 3,084.91

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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.