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Finding the Fourth Proportional to 2,833.38, 3,910.23 and 1,574.49

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Solution

The fourth proportional to 2,833.38, 3,910.23 and 1,574.49 is: 2,172.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833.38 : 3,910.23 = 1,574.49 : x
  2. Step 2: Convert to fraction form
    2,833.38/3,910.23 = 1,574.49/x
  3. Step 3: Cross multiply
    2,833.38x = 3,910.23 × 1,574.49
  4. Step 4: Simplify right side
    2,833.38x = 6,156,618.03
  5. Step 5: Solve for x
    x = 6,156,618.03/2,833.38
  6. Step 6: Final answer
    x = 2,172.89

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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.