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Finding the Fourth Proportional to 2,533.46, 3,793.37 and 1,653.78

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Solution

The fourth proportional to 2,533.46, 3,793.37 and 1,653.78 is: 2,476.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.46 : 3,793.37 = 1,653.78 : x
  2. Step 2: Convert to fraction form
    2,533.46/3,793.37 = 1,653.78/x
  3. Step 3: Cross multiply
    2,533.46x = 3,793.37 × 1,653.78
  4. Step 4: Simplify right side
    2,533.46x = 6,273,399.44
  5. Step 5: Solve for x
    x = 6,273,399.44/2,533.46
  6. Step 6: Final answer
    x = 2,476.22

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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.