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Finding the Fourth Proportional to 3,145.46, 4,709.91 and 2,215.97

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Solution

The fourth proportional to 3,145.46, 4,709.91 and 2,215.97 is: 3,318.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.46 : 4,709.91 = 2,215.97 : x
  2. Step 2: Convert to fraction form
    3,145.46/4,709.91 = 2,215.97/x
  3. Step 3: Cross multiply
    3,145.46x = 4,709.91 × 2,215.97
  4. Step 4: Simplify right side
    3,145.46x = 10,437,019.26
  5. Step 5: Solve for x
    x = 10,437,019.26/3,145.46
  6. Step 6: Final answer
    x = 3,318.12

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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.