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Finding the Fourth Proportional to 2,748.21, 4,122.50 and 800.25

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Solution

The fourth proportional to 2,748.21, 4,122.50 and 800.25 is: 1,200.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,748.21 : 4,122.50 = 800.25 : x
  2. Step 2: Convert to fraction form
    2,748.21/4,122.50 = 800.25/x
  3. Step 3: Cross multiply
    2,748.21x = 4,122.50 × 800.25
  4. Step 4: Simplify right side
    2,748.21x = 3,299,026.62
  5. Step 5: Solve for x
    x = 3,299,026.62/2,748.21
  6. Step 6: Final answer
    x = 1,200.43

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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.