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Finding the Fourth Proportional to 2,197.93, 3,298.24 and 1,992.86

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Solution

The fourth proportional to 2,197.93, 3,298.24 and 1,992.86 is: 2,990.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.93 : 3,298.24 = 1,992.86 : x
  2. Step 2: Convert to fraction form
    2,197.93/3,298.24 = 1,992.86/x
  3. Step 3: Cross multiply
    2,197.93x = 3,298.24 × 1,992.86
  4. Step 4: Simplify right side
    2,197.93x = 6,572,930.57
  5. Step 5: Solve for x
    x = 6,572,930.57/2,197.93
  6. Step 6: Final answer
    x = 2,990.51

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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.