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Finding the Fourth Proportional to 3,144.25, 4,717.05 and 1,064.31

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Solution

The fourth proportional to 3,144.25, 4,717.05 and 1,064.31 is: 1,596.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.25 : 4,717.05 = 1,064.31 : x
  2. Step 2: Convert to fraction form
    3,144.25/4,717.05 = 1,064.31/x
  3. Step 3: Cross multiply
    3,144.25x = 4,717.05 × 1,064.31
  4. Step 4: Simplify right side
    3,144.25x = 5,020,379.90
  5. Step 5: Solve for x
    x = 5,020,379.90/3,144.25
  6. Step 6: Final answer
    x = 1,596.69

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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.