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Finding the Fourth Proportional to 2,626.09, 3,624.03 and 1,447.16

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Solution

The fourth proportional to 2,626.09, 3,624.03 and 1,447.16 is: 1,997.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,626.09 : 3,624.03 = 1,447.16 : x
  2. Step 2: Convert to fraction form
    2,626.09/3,624.03 = 1,447.16/x
  3. Step 3: Cross multiply
    2,626.09x = 3,624.03 × 1,447.16
  4. Step 4: Simplify right side
    2,626.09x = 5,244,533.13
  5. Step 5: Solve for x
    x = 5,244,533.13/2,626.09
  6. Step 6: Final answer
    x = 1,997.09

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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.