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Finding the Fourth Proportional to 2,019.05, 3,028.61 and 632.43

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Solution

The fourth proportional to 2,019.05, 3,028.61 and 632.43 is: 948.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.05 : 3,028.61 = 632.43 : x
  2. Step 2: Convert to fraction form
    2,019.05/3,028.61 = 632.43/x
  3. Step 3: Cross multiply
    2,019.05x = 3,028.61 × 632.43
  4. Step 4: Simplify right side
    2,019.05x = 1,915,393.92
  5. Step 5: Solve for x
    x = 1,915,393.92/2,019.05
  6. Step 6: Final answer
    x = 948.66

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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.