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Finding the Fourth Proportional to 2,724.02, 4,087.64 and 992.78

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Solution

The fourth proportional to 2,724.02, 4,087.64 and 992.78 is: 1,489.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,724.02 : 4,087.64 = 992.78 : x
  2. Step 2: Convert to fraction form
    2,724.02/4,087.64 = 992.78/x
  3. Step 3: Cross multiply
    2,724.02x = 4,087.64 × 992.78
  4. Step 4: Simplify right side
    2,724.02x = 4,058,127.24
  5. Step 5: Solve for x
    x = 4,058,127.24/2,724.02
  6. Step 6: Final answer
    x = 1,489.76

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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.