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Finding the Fourth Proportional to 2,659.05, 3,987.68 and 992.83

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Solution

The fourth proportional to 2,659.05, 3,987.68 and 992.83 is: 1,488.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.05 : 3,987.68 = 992.83 : x
  2. Step 2: Convert to fraction form
    2,659.05/3,987.68 = 992.83/x
  3. Step 3: Cross multiply
    2,659.05x = 3,987.68 × 992.83
  4. Step 4: Simplify right side
    2,659.05x = 3,959,080.88
  5. Step 5: Solve for x
    x = 3,959,080.88/2,659.05
  6. Step 6: Final answer
    x = 1,488.91

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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.