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Finding the Fourth Proportional to 2,748.28, 4,122.82 and 800.64

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Solution

The fourth proportional to 2,748.28, 4,122.82 and 800.64 is: 1,201.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,748.28 : 4,122.82 = 800.64 : x
  2. Step 2: Convert to fraction form
    2,748.28/4,122.82 = 800.64/x
  3. Step 3: Cross multiply
    2,748.28x = 4,122.82 × 800.64
  4. Step 4: Simplify right side
    2,748.28x = 3,300,894.60
  5. Step 5: Solve for x
    x = 3,300,894.60/2,748.28
  6. Step 6: Final answer
    x = 1,201.08

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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.