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Finding the Fourth Proportional to 2,149.99, 3,226.08 and 979.86

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Solution

The fourth proportional to 2,149.99, 3,226.08 and 979.86 is: 1,470.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.99 : 3,226.08 = 979.86 : x
  2. Step 2: Convert to fraction form
    2,149.99/3,226.08 = 979.86/x
  3. Step 3: Cross multiply
    2,149.99x = 3,226.08 × 979.86
  4. Step 4: Simplify right side
    2,149.99x = 3,161,117.01
  5. Step 5: Solve for x
    x = 3,161,117.01/2,149.99
  6. Step 6: Final answer
    x = 1,470.29

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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.