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Finding the Fourth Proportional to 2,864.46, 3,954.78 and 2,235.64

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Solution

The fourth proportional to 2,864.46, 3,954.78 and 2,235.64 is: 3,086.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.46 : 3,954.78 = 2,235.64 : x
  2. Step 2: Convert to fraction form
    2,864.46/3,954.78 = 2,235.64/x
  3. Step 3: Cross multiply
    2,864.46x = 3,954.78 × 2,235.64
  4. Step 4: Simplify right side
    2,864.46x = 8,841,464.36
  5. Step 5: Solve for x
    x = 8,841,464.36/2,864.46
  6. Step 6: Final answer
    x = 3,086.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.