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Finding the Fourth Proportional to 2,084, 2,873.28 and 1,665.92

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Solution

The fourth proportional to 2,084, 2,873.28 and 1,665.92 is: 2,296.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084 : 2,873.28 = 1,665.92 : x
  2. Step 2: Convert to fraction form
    2,084/2,873.28 = 1,665.92/x
  3. Step 3: Cross multiply
    2,084x = 2,873.28 × 1,665.92
  4. Step 4: Simplify right side
    2,084x = 4,786,654.62
  5. Step 5: Solve for x
    x = 4,786,654.62/2,084
  6. Step 6: Final answer
    x = 2,296.86

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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.