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Finding the Fourth Proportional to 3,206.99, 4,424.46 and 1,880.21

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Solution

The fourth proportional to 3,206.99, 4,424.46 and 1,880.21 is: 2,593.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.99 : 4,424.46 = 1,880.21 : x
  2. Step 2: Convert to fraction form
    3,206.99/4,424.46 = 1,880.21/x
  3. Step 3: Cross multiply
    3,206.99x = 4,424.46 × 1,880.21
  4. Step 4: Simplify right side
    3,206.99x = 8,318,913.94
  5. Step 5: Solve for x
    x = 8,318,913.94/3,206.99
  6. Step 6: Final answer
    x = 2,593.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.