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Finding the Fourth Proportional to 2,199.72, 3,286.95 and 2,158.68

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Solution

The fourth proportional to 2,199.72, 3,286.95 and 2,158.68 is: 3,225.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.72 : 3,286.95 = 2,158.68 : x
  2. Step 2: Convert to fraction form
    2,199.72/3,286.95 = 2,158.68/x
  3. Step 3: Cross multiply
    2,199.72x = 3,286.95 × 2,158.68
  4. Step 4: Simplify right side
    2,199.72x = 7,095,473.23
  5. Step 5: Solve for x
    x = 7,095,473.23/2,199.72
  6. Step 6: Final answer
    x = 3,225.63

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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.