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Finding the Fourth Proportional to 2,582.98, 3,874.65 and 851.02

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Solution

The fourth proportional to 2,582.98, 3,874.65 and 851.02 is: 1,276.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.98 : 3,874.65 = 851.02 : x
  2. Step 2: Convert to fraction form
    2,582.98/3,874.65 = 851.02/x
  3. Step 3: Cross multiply
    2,582.98x = 3,874.65 × 851.02
  4. Step 4: Simplify right side
    2,582.98x = 3,297,404.64
  5. Step 5: Solve for x
    x = 3,297,404.64/2,582.98
  6. Step 6: Final answer
    x = 1,276.59

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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.