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Finding the Fourth Proportional to 4,161.92, 6,242.25 and 1,564.25

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Solution

The fourth proportional to 4,161.92, 6,242.25 and 1,564.25 is: 2,346.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,161.92 : 6,242.25 = 1,564.25 : x
  2. Step 2: Convert to fraction form
    4,161.92/6,242.25 = 1,564.25/x
  3. Step 3: Cross multiply
    4,161.92x = 6,242.25 × 1,564.25
  4. Step 4: Simplify right side
    4,161.92x = 9,764,439.56
  5. Step 5: Solve for x
    x = 9,764,439.56/4,161.92
  6. Step 6: Final answer
    x = 2,346.14

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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.