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Finding the Fourth Proportional to 2,709.37, 4,064.78 and 1,149.44

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Solution

The fourth proportional to 2,709.37, 4,064.78 and 1,149.44 is: 1,724.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.37 : 4,064.78 = 1,149.44 : x
  2. Step 2: Convert to fraction form
    2,709.37/4,064.78 = 1,149.44/x
  3. Step 3: Cross multiply
    2,709.37x = 4,064.78 × 1,149.44
  4. Step 4: Simplify right side
    2,709.37x = 4,672,194.65
  5. Step 5: Solve for x
    x = 4,672,194.65/2,709.37
  6. Step 6: Final answer
    x = 1,724.46

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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.