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Finding the Fourth Proportional to 2,564.16, 3,846.24 and 1,993.92

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Solution

The fourth proportional to 2,564.16, 3,846.24 and 1,993.92 is: 2,990.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.16 : 3,846.24 = 1,993.92 : x
  2. Step 2: Convert to fraction form
    2,564.16/3,846.24 = 1,993.92/x
  3. Step 3: Cross multiply
    2,564.16x = 3,846.24 × 1,993.92
  4. Step 4: Simplify right side
    2,564.16x = 7,669,094.86
  5. Step 5: Solve for x
    x = 7,669,094.86/2,564.16
  6. Step 6: Final answer
    x = 2,990.88

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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.