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Finding the Fourth Proportional to 3,299.60, 4,953.04 and 2,206.32

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Solution

The fourth proportional to 3,299.60, 4,953.04 and 2,206.32 is: 3,311.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,299.60 : 4,953.04 = 2,206.32 : x
  2. Step 2: Convert to fraction form
    3,299.60/4,953.04 = 2,206.32/x
  3. Step 3: Cross multiply
    3,299.60x = 4,953.04 × 2,206.32
  4. Step 4: Simplify right side
    3,299.60x = 10,927,991.21
  5. Step 5: Solve for x
    x = 10,927,991.21/3,299.60
  6. Step 6: Final answer
    x = 3,311.91

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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.