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Finding the Fourth Proportional to 2,833.58, 3,910.16 and 1,574.54

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Solution

The fourth proportional to 2,833.58, 3,910.16 and 1,574.54 is: 2,172.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833.58 : 3,910.16 = 1,574.54 : x
  2. Step 2: Convert to fraction form
    2,833.58/3,910.16 = 1,574.54/x
  3. Step 3: Cross multiply
    2,833.58x = 3,910.16 × 1,574.54
  4. Step 4: Simplify right side
    2,833.58x = 6,156,675.90
  5. Step 5: Solve for x
    x = 6,156,675.90/2,833.58
  6. Step 6: Final answer
    x = 2,172.76

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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.