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Finding the Fourth Proportional to 2,377.35, 3,286.17 and 2,196.72

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Solution

The fourth proportional to 2,377.35, 3,286.17 and 2,196.72 is: 3,036.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.35 : 3,286.17 = 2,196.72 : x
  2. Step 2: Convert to fraction form
    2,377.35/3,286.17 = 2,196.72/x
  3. Step 3: Cross multiply
    2,377.35x = 3,286.17 × 2,196.72
  4. Step 4: Simplify right side
    2,377.35x = 7,218,795.36
  5. Step 5: Solve for x
    x = 7,218,795.36/2,377.35
  6. Step 6: Final answer
    x = 3,036.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.