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Finding the Fourth Proportional to 2,087.02, 3,132.56 and 992.13

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Solution

The fourth proportional to 2,087.02, 3,132.56 and 992.13 is: 1,489.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.02 : 3,132.56 = 992.13 : x
  2. Step 2: Convert to fraction form
    2,087.02/3,132.56 = 992.13/x
  3. Step 3: Cross multiply
    2,087.02x = 3,132.56 × 992.13
  4. Step 4: Simplify right side
    2,087.02x = 3,107,906.75
  5. Step 5: Solve for x
    x = 3,107,906.75/2,087.02
  6. Step 6: Final answer
    x = 1,489.16

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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.