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Finding the Fourth Proportional to 2,014.24, 3,021.63 and 627.68

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Solution

The fourth proportional to 2,014.24, 3,021.63 and 627.68 is: 941.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.24 : 3,021.63 = 627.68 : x
  2. Step 2: Convert to fraction form
    2,014.24/3,021.63 = 627.68/x
  3. Step 3: Cross multiply
    2,014.24x = 3,021.63 × 627.68
  4. Step 4: Simplify right side
    2,014.24x = 1,896,616.72
  5. Step 5: Solve for x
    x = 1,896,616.72/2,014.24
  6. Step 6: Final answer
    x = 941.61

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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.