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Finding the Fourth Proportional to 2,494.46, 3,445.67 and 1,912.21

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Solution

The fourth proportional to 2,494.46, 3,445.67 and 1,912.21 is: 2,641.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.46 : 3,445.67 = 1,912.21 : x
  2. Step 2: Convert to fraction form
    2,494.46/3,445.67 = 1,912.21/x
  3. Step 3: Cross multiply
    2,494.46x = 3,445.67 × 1,912.21
  4. Step 4: Simplify right side
    2,494.46x = 6,588,840.80
  5. Step 5: Solve for x
    x = 6,588,840.80/2,494.46
  6. Step 6: Final answer
    x = 2,641.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.