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Finding the Fourth Proportional to 2,814.72, 3,882.09 and 2,626.08

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Solution

The fourth proportional to 2,814.72, 3,882.09 and 2,626.08 is: 3,621.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.72 : 3,882.09 = 2,626.08 : x
  2. Step 2: Convert to fraction form
    2,814.72/3,882.09 = 2,626.08/x
  3. Step 3: Cross multiply
    2,814.72x = 3,882.09 × 2,626.08
  4. Step 4: Simplify right side
    2,814.72x = 10,194,688.61
  5. Step 5: Solve for x
    x = 10,194,688.61/2,814.72
  6. Step 6: Final answer
    x = 3,621.93

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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.