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Finding the Fourth Proportional to 3,299.68, 4,950.56 and 1,984.87

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Solution

The fourth proportional to 3,299.68, 4,950.56 and 1,984.87 is: 2,977.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,299.68 : 4,950.56 = 1,984.87 : x
  2. Step 2: Convert to fraction form
    3,299.68/4,950.56 = 1,984.87/x
  3. Step 3: Cross multiply
    3,299.68x = 4,950.56 × 1,984.87
  4. Step 4: Simplify right side
    3,299.68x = 9,826,218.03
  5. Step 5: Solve for x
    x = 9,826,218.03/3,299.68
  6. Step 6: Final answer
    x = 2,977.93

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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.