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Finding the Fourth Proportional to 3,168.72, 4,749.84 and 1,220.16

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Solution

The fourth proportional to 3,168.72, 4,749.84 and 1,220.16 is: 1,828.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,168.72 : 4,749.84 = 1,220.16 : x
  2. Step 2: Convert to fraction form
    3,168.72/4,749.84 = 1,220.16/x
  3. Step 3: Cross multiply
    3,168.72x = 4,749.84 × 1,220.16
  4. Step 4: Simplify right side
    3,168.72x = 5,795,564.77
  5. Step 5: Solve for x
    x = 5,795,564.77/3,168.72
  6. Step 6: Final answer
    x = 1,828.99

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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.