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Finding the Fourth Proportional to 2,844.87, 4,267.28 and 736.49

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Solution

The fourth proportional to 2,844.87, 4,267.28 and 736.49 is: 1,104.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,844.87 : 4,267.28 = 736.49 : x
  2. Step 2: Convert to fraction form
    2,844.87/4,267.28 = 736.49/x
  3. Step 3: Cross multiply
    2,844.87x = 4,267.28 × 736.49
  4. Step 4: Simplify right side
    2,844.87x = 3,142,784.03
  5. Step 5: Solve for x
    x = 3,142,784.03/2,844.87
  6. Step 6: Final answer
    x = 1,104.72

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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.