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Finding the Fourth Proportional to 2,582.88, 3,874.31 and 851.64

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Solution

The fourth proportional to 2,582.88, 3,874.31 and 851.64 is: 1,277.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.88 : 3,874.31 = 851.64 : x
  2. Step 2: Convert to fraction form
    2,582.88/3,874.31 = 851.64/x
  3. Step 3: Cross multiply
    2,582.88x = 3,874.31 × 851.64
  4. Step 4: Simplify right side
    2,582.88x = 3,299,517.37
  5. Step 5: Solve for x
    x = 3,299,517.37/2,582.88
  6. Step 6: Final answer
    x = 1,277.46

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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.