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Finding the Fourth Proportional to 2,086.83, 3,129.30 and 992.52

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Solution

The fourth proportional to 2,086.83, 3,129.30 and 992.52 is: 1,488.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.83 : 3,129.30 = 992.52 : x
  2. Step 2: Convert to fraction form
    2,086.83/3,129.30 = 992.52/x
  3. Step 3: Cross multiply
    2,086.83x = 3,129.30 × 992.52
  4. Step 4: Simplify right side
    2,086.83x = 3,105,892.84
  5. Step 5: Solve for x
    x = 3,105,892.84/2,086.83
  6. Step 6: Final answer
    x = 1,488.33

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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.