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Finding the Fourth Proportional to 2,961.82, 4,424.08 and 2,174.86

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Solution

The fourth proportional to 2,961.82, 4,424.08 and 2,174.86 is: 3,248.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,961.82 : 4,424.08 = 2,174.86 : x
  2. Step 2: Convert to fraction form
    2,961.82/4,424.08 = 2,174.86/x
  3. Step 3: Cross multiply
    2,961.82x = 4,424.08 × 2,174.86
  4. Step 4: Simplify right side
    2,961.82x = 9,621,754.63
  5. Step 5: Solve for x
    x = 9,621,754.63/2,961.82
  6. Step 6: Final answer
    x = 3,248.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.