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Finding the Fourth Proportional to 2,209.70, 3,049 and 1,621.64

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Solution

The fourth proportional to 2,209.70, 3,049 and 1,621.64 is: 2,237.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.70 : 3,049 = 1,621.64 : x
  2. Step 2: Convert to fraction form
    2,209.70/3,049 = 1,621.64/x
  3. Step 3: Cross multiply
    2,209.70x = 3,049 × 1,621.64
  4. Step 4: Simplify right side
    2,209.70x = 4,944,380.36
  5. Step 5: Solve for x
    x = 4,944,380.36/2,209.70
  6. Step 6: Final answer
    x = 2,237.58

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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.