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Finding the Fourth Proportional to 2,783.80, 4,177.70 and 1,861.12

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Solution

The fourth proportional to 2,783.80, 4,177.70 and 1,861.12 is: 2,793.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.80 : 4,177.70 = 1,861.12 : x
  2. Step 2: Convert to fraction form
    2,783.80/4,177.70 = 1,861.12/x
  3. Step 3: Cross multiply
    2,783.80x = 4,177.70 × 1,861.12
  4. Step 4: Simplify right side
    2,783.80x = 7,775,201.02
  5. Step 5: Solve for x
    x = 7,775,201.02/2,783.80
  6. Step 6: Final answer
    x = 2,793.02

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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.