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Finding the Fourth Proportional to 2,596.22, 3,894.32 and 842.68

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Solution

The fourth proportional to 2,596.22, 3,894.32 and 842.68 is: 1,264.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.22 : 3,894.32 = 842.68 : x
  2. Step 2: Convert to fraction form
    2,596.22/3,894.32 = 842.68/x
  3. Step 3: Cross multiply
    2,596.22x = 3,894.32 × 842.68
  4. Step 4: Simplify right side
    2,596.22x = 3,281,665.58
  5. Step 5: Solve for x
    x = 3,281,665.58/2,596.22
  6. Step 6: Final answer
    x = 1,264.02

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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.