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Finding the Fourth Proportional to 2,114.80, 3,174.96 and 1,628.20

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Solution

The fourth proportional to 2,114.80, 3,174.96 and 1,628.20 is: 2,444.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.80 : 3,174.96 = 1,628.20 : x
  2. Step 2: Convert to fraction form
    2,114.80/3,174.96 = 1,628.20/x
  3. Step 3: Cross multiply
    2,114.80x = 3,174.96 × 1,628.20
  4. Step 4: Simplify right side
    2,114.80x = 5,169,469.87
  5. Step 5: Solve for x
    x = 5,169,469.87/2,114.80
  6. Step 6: Final answer
    x = 2,444.42

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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.