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Finding the Fourth Proportional to 2,753.03, 4,128.62 and 804.78

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Solution

The fourth proportional to 2,753.03, 4,128.62 and 804.78 is: 1,206.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753.03 : 4,128.62 = 804.78 : x
  2. Step 2: Convert to fraction form
    2,753.03/4,128.62 = 804.78/x
  3. Step 3: Cross multiply
    2,753.03x = 4,128.62 × 804.78
  4. Step 4: Simplify right side
    2,753.03x = 3,322,626.78
  5. Step 5: Solve for x
    x = 3,322,626.78/2,753.03
  6. Step 6: Final answer
    x = 1,206.90

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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.