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Finding the Fourth Proportional to 2,102.87, 3,153.05 and 1,794.83

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Solution

The fourth proportional to 2,102.87, 3,153.05 and 1,794.83 is: 2,691.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.87 : 3,153.05 = 1,794.83 : x
  2. Step 2: Convert to fraction form
    2,102.87/3,153.05 = 1,794.83/x
  3. Step 3: Cross multiply
    2,102.87x = 3,153.05 × 1,794.83
  4. Step 4: Simplify right side
    2,102.87x = 5,659,179.76
  5. Step 5: Solve for x
    x = 5,659,179.76/2,102.87
  6. Step 6: Final answer
    x = 2,691.17

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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.