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Finding the Fourth Proportional to 3,144.96, 4,709.16 and 2,215.47

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Solution

The fourth proportional to 3,144.96, 4,709.16 and 2,215.47 is: 3,317.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.96 : 4,709.16 = 2,215.47 : x
  2. Step 2: Convert to fraction form
    3,144.96/4,709.16 = 2,215.47/x
  3. Step 3: Cross multiply
    3,144.96x = 4,709.16 × 2,215.47
  4. Step 4: Simplify right side
    3,144.96x = 10,433,002.71
  5. Step 5: Solve for x
    x = 10,433,002.71/3,144.96
  6. Step 6: Final answer
    x = 3,317.37

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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.