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Finding the Fourth Proportional to 2,776.16, 4,163.92 and 724.32

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Solution

The fourth proportional to 2,776.16, 4,163.92 and 724.32 is: 1,086.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.16 : 4,163.92 = 724.32 : x
  2. Step 2: Convert to fraction form
    2,776.16/4,163.92 = 724.32/x
  3. Step 3: Cross multiply
    2,776.16x = 4,163.92 × 724.32
  4. Step 4: Simplify right side
    2,776.16x = 3,016,010.53
  5. Step 5: Solve for x
    x = 3,016,010.53/2,776.16
  6. Step 6: Final answer
    x = 1,086.40

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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.