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Finding the Fourth Proportional to 2,735.70, 4,099.57 and 1,562.08

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Solution

The fourth proportional to 2,735.70, 4,099.57 and 1,562.08 is: 2,340.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.70 : 4,099.57 = 1,562.08 : x
  2. Step 2: Convert to fraction form
    2,735.70/4,099.57 = 1,562.08/x
  3. Step 3: Cross multiply
    2,735.70x = 4,099.57 × 1,562.08
  4. Step 4: Simplify right side
    2,735.70x = 6,403,856.31
  5. Step 5: Solve for x
    x = 6,403,856.31/2,735.70
  6. Step 6: Final answer
    x = 2,340.85

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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.