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Finding the Fourth Proportional to 2,961.66, 4,442.43 and 2,781.24

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Solution

The fourth proportional to 2,961.66, 4,442.43 and 2,781.24 is: 4,171.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,961.66 : 4,442.43 = 2,781.24 : x
  2. Step 2: Convert to fraction form
    2,961.66/4,442.43 = 2,781.24/x
  3. Step 3: Cross multiply
    2,961.66x = 4,442.43 × 2,781.24
  4. Step 4: Simplify right side
    2,961.66x = 12,355,464.01
  5. Step 5: Solve for x
    x = 12,355,464.01/2,961.66
  6. Step 6: Final answer
    x = 4,171.80

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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.