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Finding the Fourth Proportional to 2,197.74, 3,034 and 1,493.30

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Solution

The fourth proportional to 2,197.74, 3,034 and 1,493.30 is: 2,061.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.74 : 3,034 = 1,493.30 : x
  2. Step 2: Convert to fraction form
    2,197.74/3,034 = 1,493.30/x
  3. Step 3: Cross multiply
    2,197.74x = 3,034 × 1,493.30
  4. Step 4: Simplify right side
    2,197.74x = 4,530,672.20
  5. Step 5: Solve for x
    x = 4,530,672.20/2,197.74
  6. Step 6: Final answer
    x = 2,061.51

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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.