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Finding the Fourth Proportional to 2,366.92, 3,546.72 and 2,158.12

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Solution

The fourth proportional to 2,366.92, 3,546.72 and 2,158.12 is: 3,233.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.92 : 3,546.72 = 2,158.12 : x
  2. Step 2: Convert to fraction form
    2,366.92/3,546.72 = 2,158.12/x
  3. Step 3: Cross multiply
    2,366.92x = 3,546.72 × 2,158.12
  4. Step 4: Simplify right side
    2,366.92x = 7,654,247.37
  5. Step 5: Solve for x
    x = 7,654,247.37/2,366.92
  6. Step 6: Final answer
    x = 3,233.84

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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.