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Finding the Fourth Proportional to 2,019.68, 3,028.07 and 632.27

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Solution

The fourth proportional to 2,019.68, 3,028.07 and 632.27 is: 947.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.68 : 3,028.07 = 632.27 : x
  2. Step 2: Convert to fraction form
    2,019.68/3,028.07 = 632.27/x
  3. Step 3: Cross multiply
    2,019.68x = 3,028.07 × 632.27
  4. Step 4: Simplify right side
    2,019.68x = 1,914,563.41
  5. Step 5: Solve for x
    x = 1,914,563.41/2,019.68
  6. Step 6: Final answer
    x = 947.95

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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.