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Finding the Fourth Proportional to 3,448.74, 5,174.36 and 1,693.56

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Solution

The fourth proportional to 3,448.74, 5,174.36 and 1,693.56 is: 2,540.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,448.74 : 5,174.36 = 1,693.56 : x
  2. Step 2: Convert to fraction form
    3,448.74/5,174.36 = 1,693.56/x
  3. Step 3: Cross multiply
    3,448.74x = 5,174.36 × 1,693.56
  4. Step 4: Simplify right side
    3,448.74x = 8,763,089.12
  5. Step 5: Solve for x
    x = 8,763,089.12/3,448.74
  6. Step 6: Final answer
    x = 2,540.95

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1.5x scale

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.