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Finding the Fourth Proportional to 2,493.42, 3,438.90 and 2,194.02

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Solution

The fourth proportional to 2,493.42, 3,438.90 and 2,194.02 is: 3,025.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,493.42 : 3,438.90 = 2,194.02 : x
  2. Step 2: Convert to fraction form
    2,493.42/3,438.90 = 2,194.02/x
  3. Step 3: Cross multiply
    2,493.42x = 3,438.90 × 2,194.02
  4. Step 4: Simplify right side
    2,493.42x = 7,545,015.38
  5. Step 5: Solve for x
    x = 7,545,015.38/2,493.42
  6. Step 6: Final answer
    x = 3,025.97

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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.