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Finding the Fourth Proportional to 2,582.91, 3,874.37 and 851.54

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Solution

The fourth proportional to 2,582.91, 3,874.37 and 851.54 is: 1,277.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.91 : 3,874.37 = 851.54 : x
  2. Step 2: Convert to fraction form
    2,582.91/3,874.37 = 851.54/x
  3. Step 3: Cross multiply
    2,582.91x = 3,874.37 × 851.54
  4. Step 4: Simplify right side
    2,582.91x = 3,299,157.40
  5. Step 5: Solve for x
    x = 3,299,157.40/2,582.91
  6. Step 6: Final answer
    x = 1,277.30

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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.