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Finding the Fourth Proportional to 2,103.05, 3,149.10 and 2,050.80

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Solution

The fourth proportional to 2,103.05, 3,149.10 and 2,050.80 is: 3,070.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.05 : 3,149.10 = 2,050.80 : x
  2. Step 2: Convert to fraction form
    2,103.05/3,149.10 = 2,050.80/x
  3. Step 3: Cross multiply
    2,103.05x = 3,149.10 × 2,050.80
  4. Step 4: Simplify right side
    2,103.05x = 6,458,174.28
  5. Step 5: Solve for x
    x = 6,458,174.28/2,103.05
  6. Step 6: Final answer
    x = 3,070.87

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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.