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Finding the Fourth Proportional to 2,013.94, 3,021.06 and 627.16

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Solution

The fourth proportional to 2,013.94, 3,021.06 and 627.16 is: 940.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.94 : 3,021.06 = 627.16 : x
  2. Step 2: Convert to fraction form
    2,013.94/3,021.06 = 627.16/x
  3. Step 3: Cross multiply
    2,013.94x = 3,021.06 × 627.16
  4. Step 4: Simplify right side
    2,013.94x = 1,894,687.99
  5. Step 5: Solve for x
    x = 1,894,687.99/2,013.94
  6. Step 6: Final answer
    x = 940.79

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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.