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Finding the Fourth Proportional to 2,087.23, 3,128.78 and 992.36

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Solution

The fourth proportional to 2,087.23, 3,128.78 and 992.36 is: 1,487.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.23 : 3,128.78 = 992.36 : x
  2. Step 2: Convert to fraction form
    2,087.23/3,128.78 = 992.36/x
  3. Step 3: Cross multiply
    2,087.23x = 3,128.78 × 992.36
  4. Step 4: Simplify right side
    2,087.23x = 3,104,876.12
  5. Step 5: Solve for x
    x = 3,104,876.12/2,087.23
  6. Step 6: Final answer
    x = 1,487.56

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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.