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Finding the Fourth Proportional to 2,824.70, 4,241.10 and 2,209.10

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Solution

The fourth proportional to 2,824.70, 4,241.10 and 2,209.10 is: 3,316.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.70 : 4,241.10 = 2,209.10 : x
  2. Step 2: Convert to fraction form
    2,824.70/4,241.10 = 2,209.10/x
  3. Step 3: Cross multiply
    2,824.70x = 4,241.10 × 2,209.10
  4. Step 4: Simplify right side
    2,824.70x = 9,369,014.01
  5. Step 5: Solve for x
    x = 9,369,014.01/2,824.70
  6. Step 6: Final answer
    x = 3,316.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.