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Finding the Fourth Proportional to 3,134.65, 4,315.97 and 2,661.56

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Solution

The fourth proportional to 3,134.65, 4,315.97 and 2,661.56 is: 3,664.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.65 : 4,315.97 = 2,661.56 : x
  2. Step 2: Convert to fraction form
    3,134.65/4,315.97 = 2,661.56/x
  3. Step 3: Cross multiply
    3,134.65x = 4,315.97 × 2,661.56
  4. Step 4: Simplify right side
    3,134.65x = 11,487,213.11
  5. Step 5: Solve for x
    x = 11,487,213.11/3,134.65
  6. Step 6: Final answer
    x = 3,664.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.