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Finding the Fourth Proportional to 2,533.38, 3,794.16 and 2,445.78

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Solution

The fourth proportional to 2,533.38, 3,794.16 and 2,445.78 is: 3,662.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.38 : 3,794.16 = 2,445.78 : x
  2. Step 2: Convert to fraction form
    2,533.38/3,794.16 = 2,445.78/x
  3. Step 3: Cross multiply
    2,533.38x = 3,794.16 × 2,445.78
  4. Step 4: Simplify right side
    2,533.38x = 9,279,680.64
  5. Step 5: Solve for x
    x = 9,279,680.64/2,533.38
  6. Step 6: Final answer
    x = 3,662.96

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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.