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Finding the Fourth Proportional to 2,197.35, 3,298.76 and 2,109.87

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Solution

The fourth proportional to 2,197.35, 3,298.76 and 2,109.87 is: 3,167.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.35 : 3,298.76 = 2,109.87 : x
  2. Step 2: Convert to fraction form
    2,197.35/3,298.76 = 2,109.87/x
  3. Step 3: Cross multiply
    2,197.35x = 3,298.76 × 2,109.87
  4. Step 4: Simplify right side
    2,197.35x = 6,959,944.21
  5. Step 5: Solve for x
    x = 6,959,944.21/2,197.35
  6. Step 6: Final answer
    x = 3,167.43

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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.