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Finding the Fourth Proportional to 2,817, 4,233.60 and 2,800.80

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Solution

The fourth proportional to 2,817, 4,233.60 and 2,800.80 is: 4,209.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,817 : 4,233.60 = 2,800.80 : x
  2. Step 2: Convert to fraction form
    2,817/4,233.60 = 2,800.80/x
  3. Step 3: Cross multiply
    2,817x = 4,233.60 × 2,800.80
  4. Step 4: Simplify right side
    2,817x = 11,857,466.88
  5. Step 5: Solve for x
    x = 11,857,466.88/2,817
  6. Step 6: Final answer
    x = 4,209.25

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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.