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Finding the Fourth Proportional to 2,582.22, 3,874.14 and 852.06

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Solution

The fourth proportional to 2,582.22, 3,874.14 and 852.06 is: 1,278.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.22 : 3,874.14 = 852.06 : x
  2. Step 2: Convert to fraction form
    2,582.22/3,874.14 = 852.06/x
  3. Step 3: Cross multiply
    2,582.22x = 3,874.14 × 852.06
  4. Step 4: Simplify right side
    2,582.22x = 3,300,999.73
  5. Step 5: Solve for x
    x = 3,300,999.73/2,582.22
  6. Step 6: Final answer
    x = 1,278.36

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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.