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Finding the Fourth Proportional to 2,120.13, 3,174 and 1,574.73

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Solution

The fourth proportional to 2,120.13, 3,174 and 1,574.73 is: 2,357.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.13 : 3,174 = 1,574.73 : x
  2. Step 2: Convert to fraction form
    2,120.13/3,174 = 1,574.73/x
  3. Step 3: Cross multiply
    2,120.13x = 3,174 × 1,574.73
  4. Step 4: Simplify right side
    2,120.13x = 4,998,193.02
  5. Step 5: Solve for x
    x = 4,998,193.02/2,120.13
  6. Step 6: Final answer
    x = 2,357.49

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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.