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Finding the Fourth Proportional to 2,197.32, 3,292.86 and 1,936.76

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Solution

The fourth proportional to 2,197.32, 3,292.86 and 1,936.76 is: 2,902.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.32 : 3,292.86 = 1,936.76 : x
  2. Step 2: Convert to fraction form
    2,197.32/3,292.86 = 1,936.76/x
  3. Step 3: Cross multiply
    2,197.32x = 3,292.86 × 1,936.76
  4. Step 4: Simplify right side
    2,197.32x = 6,377,479.53
  5. Step 5: Solve for x
    x = 6,377,479.53/2,197.32
  6. Step 6: Final answer
    x = 2,902.39

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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.