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Finding the Fourth Proportional to 2,735.52, 4,099.41 and 1,563.12

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Solution

The fourth proportional to 2,735.52, 4,099.41 and 1,563.12 is: 2,342.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.52 : 4,099.41 = 1,563.12 : x
  2. Step 2: Convert to fraction form
    2,735.52/4,099.41 = 1,563.12/x
  3. Step 3: Cross multiply
    2,735.52x = 4,099.41 × 1,563.12
  4. Step 4: Simplify right side
    2,735.52x = 6,407,869.76
  5. Step 5: Solve for x
    x = 6,407,869.76/2,735.52
  6. Step 6: Final answer
    x = 2,342.47

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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.