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Finding the Fourth Proportional to 2,783.62, 4,171.78 and 2,049.76

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Solution

The fourth proportional to 2,783.62, 4,171.78 and 2,049.76 is: 3,071.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.62 : 4,171.78 = 2,049.76 : x
  2. Step 2: Convert to fraction form
    2,783.62/4,171.78 = 2,049.76/x
  3. Step 3: Cross multiply
    2,783.62x = 4,171.78 × 2,049.76
  4. Step 4: Simplify right side
    2,783.62x = 8,551,147.77
  5. Step 5: Solve for x
    x = 8,551,147.77/2,783.62
  6. Step 6: Final answer
    x = 3,071.95

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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.