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Finding the Fourth Proportional to 2,498.99, 3,745.22 and 1,807.97

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Solution

The fourth proportional to 2,498.99, 3,745.22 and 1,807.97 is: 2,709.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.99 : 3,745.22 = 1,807.97 : x
  2. Step 2: Convert to fraction form
    2,498.99/3,745.22 = 1,807.97/x
  3. Step 3: Cross multiply
    2,498.99x = 3,745.22 × 1,807.97
  4. Step 4: Simplify right side
    2,498.99x = 6,771,217.64
  5. Step 5: Solve for x
    x = 6,771,217.64/2,498.99
  6. Step 6: Final answer
    x = 2,709.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.