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Finding the Fourth Proportional to 2,498.99, 3,748.89 and 855.20

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Solution

The fourth proportional to 2,498.99, 3,748.89 and 855.20 is: 1,282.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.99 : 3,748.89 = 855.20 : x
  2. Step 2: Convert to fraction form
    2,498.99/3,748.89 = 855.20/x
  3. Step 3: Cross multiply
    2,498.99x = 3,748.89 × 855.20
  4. Step 4: Simplify right side
    2,498.99x = 3,206,050.73
  5. Step 5: Solve for x
    x = 3,206,050.73/2,498.99
  6. Step 6: Final answer
    x = 1,282.94

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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.