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Finding the Fourth Proportional to 2,093.76, 3,142.74 and 1,861.02

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Solution

The fourth proportional to 2,093.76, 3,142.74 and 1,861.02 is: 2,793.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.76 : 3,142.74 = 1,861.02 : x
  2. Step 2: Convert to fraction form
    2,093.76/3,142.74 = 1,861.02/x
  3. Step 3: Cross multiply
    2,093.76x = 3,142.74 × 1,861.02
  4. Step 4: Simplify right side
    2,093.76x = 5,848,701.99
  5. Step 5: Solve for x
    x = 5,848,701.99/2,093.76
  6. Step 6: Final answer
    x = 2,793.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.