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Finding the Fourth Proportional to 2,724.86, 4,087.98 and 777.07

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Solution

The fourth proportional to 2,724.86, 4,087.98 and 777.07 is: 1,165.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,724.86 : 4,087.98 = 777.07 : x
  2. Step 2: Convert to fraction form
    2,724.86/4,087.98 = 777.07/x
  3. Step 3: Cross multiply
    2,724.86x = 4,087.98 × 777.07
  4. Step 4: Simplify right side
    2,724.86x = 3,176,622.29
  5. Step 5: Solve for x
    x = 3,176,622.29/2,724.86
  6. Step 6: Final answer
    x = 1,165.79

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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.