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Finding the Fourth Proportional to 2,099.73, 3,147.15 and 1,856.73

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Solution

The fourth proportional to 2,099.73, 3,147.15 and 1,856.73 is: 2,782.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.73 : 3,147.15 = 1,856.73 : x
  2. Step 2: Convert to fraction form
    2,099.73/3,147.15 = 1,856.73/x
  3. Step 3: Cross multiply
    2,099.73x = 3,147.15 × 1,856.73
  4. Step 4: Simplify right side
    2,099.73x = 5,843,407.82
  5. Step 5: Solve for x
    x = 5,843,407.82/2,099.73
  6. Step 6: Final answer
    x = 2,782.93

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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.