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Finding the Fourth Proportional to 2,894.37, 4,339.12 and 1,967.33

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Solution

The fourth proportional to 2,894.37, 4,339.12 and 1,967.33 is: 2,949.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.37 : 4,339.12 = 1,967.33 : x
  2. Step 2: Convert to fraction form
    2,894.37/4,339.12 = 1,967.33/x
  3. Step 3: Cross multiply
    2,894.37x = 4,339.12 × 1,967.33
  4. Step 4: Simplify right side
    2,894.37x = 8,536,449.42
  5. Step 5: Solve for x
    x = 8,536,449.42/2,894.37
  6. Step 6: Final answer
    x = 2,949.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.