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Finding the Fourth Proportional to 2,014.88, 3,022.38 and 628.20

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Solution

The fourth proportional to 2,014.88, 3,022.38 and 628.20 is: 942.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.88 : 3,022.38 = 628.20 : x
  2. Step 2: Convert to fraction form
    2,014.88/3,022.38 = 628.20/x
  3. Step 3: Cross multiply
    2,014.88x = 3,022.38 × 628.20
  4. Step 4: Simplify right side
    2,014.88x = 1,898,659.12
  5. Step 5: Solve for x
    x = 1,898,659.12/2,014.88
  6. Step 6: Final answer
    x = 942.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.