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Finding the Fourth Proportional to 2,088.45, 3,134.22 and 992.82

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Solution

The fourth proportional to 2,088.45, 3,134.22 and 992.82 is: 1,489.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.45 : 3,134.22 = 992.82 : x
  2. Step 2: Convert to fraction form
    2,088.45/3,134.22 = 992.82/x
  3. Step 3: Cross multiply
    2,088.45x = 3,134.22 × 992.82
  4. Step 4: Simplify right side
    2,088.45x = 3,111,716.30
  5. Step 5: Solve for x
    x = 3,111,716.30/2,088.45
  6. Step 6: Final answer
    x = 1,489.96

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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.