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Finding the Fourth Proportional to 4,408.65, 6,616.62 and 1,945.26

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Solution

The fourth proportional to 4,408.65, 6,616.62 and 1,945.26 is: 2,919.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,408.65 : 6,616.62 = 1,945.26 : x
  2. Step 2: Convert to fraction form
    4,408.65/6,616.62 = 1,945.26/x
  3. Step 3: Cross multiply
    4,408.65x = 6,616.62 × 1,945.26
  4. Step 4: Simplify right side
    4,408.65x = 12,871,046.22
  5. Step 5: Solve for x
    x = 12,871,046.22/4,408.65
  6. Step 6: Final answer
    x = 2,919.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.