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Finding the Fourth Proportional to 2,902.32, 4,007.24 and 2,563.64

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Solution

The fourth proportional to 2,902.32, 4,007.24 and 2,563.64 is: 3,539.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.32 : 4,007.24 = 2,563.64 : x
  2. Step 2: Convert to fraction form
    2,902.32/4,007.24 = 2,563.64/x
  3. Step 3: Cross multiply
    2,902.32x = 4,007.24 × 2,563.64
  4. Step 4: Simplify right side
    2,902.32x = 10,273,087.90
  5. Step 5: Solve for x
    x = 10,273,087.90/2,902.32
  6. Step 6: Final answer
    x = 3,539.61

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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.