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Finding the Fourth Proportional to 2,410.72, 3,617.16 and 2,220.64

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Solution

The fourth proportional to 2,410.72, 3,617.16 and 2,220.64 is: 3,331.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.72 : 3,617.16 = 2,220.64 : x
  2. Step 2: Convert to fraction form
    2,410.72/3,617.16 = 2,220.64/x
  3. Step 3: Cross multiply
    2,410.72x = 3,617.16 × 2,220.64
  4. Step 4: Simplify right side
    2,410.72x = 8,032,410.18
  5. Step 5: Solve for x
    x = 8,032,410.18/2,410.72
  6. Step 6: Final answer
    x = 3,331.95

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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.