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Finding the Fourth Proportional to 2,807.37, 4,198.37 and 2,105.10

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Solution

The fourth proportional to 2,807.37, 4,198.37 and 2,105.10 is: 3,148.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.37 : 4,198.37 = 2,105.10 : x
  2. Step 2: Convert to fraction form
    2,807.37/4,198.37 = 2,105.10/x
  3. Step 3: Cross multiply
    2,807.37x = 4,198.37 × 2,105.10
  4. Step 4: Simplify right side
    2,807.37x = 8,837,978.16
  5. Step 5: Solve for x
    x = 8,837,978.16/2,807.37
  6. Step 6: Final answer
    x = 3,148.13

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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.