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Finding the Fourth Proportional to 2,019.82, 3,028.63 and 632.79

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Solution

The fourth proportional to 2,019.82, 3,028.63 and 632.79 is: 948.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.82 : 3,028.63 = 632.79 : x
  2. Step 2: Convert to fraction form
    2,019.82/3,028.63 = 632.79/x
  3. Step 3: Cross multiply
    2,019.82x = 3,028.63 × 632.79
  4. Step 4: Simplify right side
    2,019.82x = 1,916,468.47
  5. Step 5: Solve for x
    x = 1,916,468.47/2,019.82
  6. Step 6: Final answer
    x = 948.83

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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.