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Finding the Fourth Proportional to 2,286.99, 3,158.15 and 2,164.23

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Solution

The fourth proportional to 2,286.99, 3,158.15 and 2,164.23 is: 2,988.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.99 : 3,158.15 = 2,164.23 : x
  2. Step 2: Convert to fraction form
    2,286.99/3,158.15 = 2,164.23/x
  3. Step 3: Cross multiply
    2,286.99x = 3,158.15 × 2,164.23
  4. Step 4: Simplify right side
    2,286.99x = 6,834,952.15
  5. Step 5: Solve for x
    x = 6,834,952.15/2,286.99
  6. Step 6: Final answer
    x = 2,988.62

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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.