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Finding the Fourth Proportional to 2,626.06, 3,624.07 and 1,447.11

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Solution

The fourth proportional to 2,626.06, 3,624.07 and 1,447.11 is: 1,997.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,626.06 : 3,624.07 = 1,447.11 : x
  2. Step 2: Convert to fraction form
    2,626.06/3,624.07 = 1,447.11/x
  3. Step 3: Cross multiply
    2,626.06x = 3,624.07 × 1,447.11
  4. Step 4: Simplify right side
    2,626.06x = 5,244,427.94
  5. Step 5: Solve for x
    x = 5,244,427.94/2,626.06
  6. Step 6: Final answer
    x = 1,997.07

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Why These Related Problems?

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