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Finding the Fourth Proportional to 2,494.97, 3,742.46 and 2,174.21

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Solution

The fourth proportional to 2,494.97, 3,742.46 and 2,174.21 is: 3,261.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.97 : 3,742.46 = 2,174.21 : x
  2. Step 2: Convert to fraction form
    2,494.97/3,742.46 = 2,174.21/x
  3. Step 3: Cross multiply
    2,494.97x = 3,742.46 × 2,174.21
  4. Step 4: Simplify right side
    2,494.97x = 8,136,864.37
  5. Step 5: Solve for x
    x = 8,136,864.37/2,494.97
  6. Step 6: Final answer
    x = 3,261.31

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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.