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Finding the Fourth Proportional to 2,057.90, 3,099.13 and 1,865.12

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Solution

The fourth proportional to 2,057.90, 3,099.13 and 1,865.12 is: 2,808.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.90 : 3,099.13 = 1,865.12 : x
  2. Step 2: Convert to fraction form
    2,057.90/3,099.13 = 1,865.12/x
  3. Step 3: Cross multiply
    2,057.90x = 3,099.13 × 1,865.12
  4. Step 4: Simplify right side
    2,057.90x = 5,780,249.35
  5. Step 5: Solve for x
    x = 5,780,249.35/2,057.90
  6. Step 6: Final answer
    x = 2,808.81

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.