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Finding the Fourth Proportional to 1,882.16, 2,820.96 and 1,660.73

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Solution

The fourth proportional to 1,882.16, 2,820.96 and 1,660.73 is: 2,489.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.16 : 2,820.96 = 1,660.73 : x
  2. Step 2: Convert to fraction form
    1,882.16/2,820.96 = 1,660.73/x
  3. Step 3: Cross multiply
    1,882.16x = 2,820.96 × 1,660.73
  4. Step 4: Simplify right side
    1,882.16x = 4,684,838.80
  5. Step 5: Solve for x
    x = 4,684,838.80/1,882.16
  6. Step 6: Final answer
    x = 2,489.08

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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.