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Finding the Fourth Proportional to 2,447.92, 3,376.72 and 1,562.73

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Solution

The fourth proportional to 2,447.92, 3,376.72 and 1,562.73 is: 2,155.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.92 : 3,376.72 = 1,562.73 : x
  2. Step 2: Convert to fraction form
    2,447.92/3,376.72 = 1,562.73/x
  3. Step 3: Cross multiply
    2,447.92x = 3,376.72 × 1,562.73
  4. Step 4: Simplify right side
    2,447.92x = 5,276,901.65
  5. Step 5: Solve for x
    x = 5,276,901.65/2,447.92
  6. Step 6: Final answer
    x = 2,155.67

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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.