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Finding the Fourth Proportional to 2,633.00, 3,949.83 and 784.17

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Solution

The fourth proportional to 2,633.00, 3,949.83 and 784.17 is: 1,176.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,633.00 : 3,949.83 = 784.17 : x
  2. Step 2: Convert to fraction form
    2,633.00/3,949.83 = 784.17/x
  3. Step 3: Cross multiply
    2,633.00x = 3,949.83 × 784.17
  4. Step 4: Simplify right side
    2,633.00x = 3,097,338.19
  5. Step 5: Solve for x
    x = 3,097,338.19/2,633.00
  6. Step 6: Final answer
    x = 1,176.36

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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.