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Finding the Fourth Proportional to 2,583.96, 3,882.30 and 1,659.88

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Solution

The fourth proportional to 2,583.96, 3,882.30 and 1,659.88 is: 2,493.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.96 : 3,882.30 = 1,659.88 : x
  2. Step 2: Convert to fraction form
    2,583.96/3,882.30 = 1,659.88/x
  3. Step 3: Cross multiply
    2,583.96x = 3,882.30 × 1,659.88
  4. Step 4: Simplify right side
    2,583.96x = 6,444,152.12
  5. Step 5: Solve for x
    x = 6,444,152.12/2,583.96
  6. Step 6: Final answer
    x = 2,493.91

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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.