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Finding the Fourth Proportional to 2,748.64, 4,122.96 and 800.80

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Solution

The fourth proportional to 2,748.64, 4,122.96 and 800.80 is: 1,201.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,748.64 : 4,122.96 = 800.80 : x
  2. Step 2: Convert to fraction form
    2,748.64/4,122.96 = 800.80/x
  3. Step 3: Cross multiply
    2,748.64x = 4,122.96 × 800.80
  4. Step 4: Simplify right side
    2,748.64x = 3,301,666.37
  5. Step 5: Solve for x
    x = 3,301,666.37/2,748.64
  6. Step 6: Final answer
    x = 1,201.20

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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.