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Finding the Fourth Proportional to 2,197.99, 3,280.30 and 2,108.68

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Solution

The fourth proportional to 2,197.99, 3,280.30 and 2,108.68 is: 3,147.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.99 : 3,280.30 = 2,108.68 : x
  2. Step 2: Convert to fraction form
    2,197.99/3,280.30 = 2,108.68/x
  3. Step 3: Cross multiply
    2,197.99x = 3,280.30 × 2,108.68
  4. Step 4: Simplify right side
    2,197.99x = 6,917,103.00
  5. Step 5: Solve for x
    x = 6,917,103.00/2,197.99
  6. Step 6: Final answer
    x = 3,147.01

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.