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Finding the Fourth Proportional to 1,474.37, 2,209.72 and 743.54

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Solution

The fourth proportional to 1,474.37, 2,209.72 and 743.54 is: 1,114.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.37 : 2,209.72 = 743.54 : x
  2. Step 2: Convert to fraction form
    1,474.37/2,209.72 = 743.54/x
  3. Step 3: Cross multiply
    1,474.37x = 2,209.72 × 743.54
  4. Step 4: Simplify right side
    1,474.37x = 1,643,015.21
  5. Step 5: Solve for x
    x = 1,643,015.21/1,474.37
  6. Step 6: Final answer
    x = 1,114.39

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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.