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Finding the Fourth Proportional to 3,442.22, 4,750.49 and 1,949.62

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Solution

The fourth proportional to 3,442.22, 4,750.49 and 1,949.62 is: 2,690.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.22 : 4,750.49 = 1,949.62 : x
  2. Step 2: Convert to fraction form
    3,442.22/4,750.49 = 1,949.62/x
  3. Step 3: Cross multiply
    3,442.22x = 4,750.49 × 1,949.62
  4. Step 4: Simplify right side
    3,442.22x = 9,261,650.31
  5. Step 5: Solve for x
    x = 9,261,650.31/3,442.22
  6. Step 6: Final answer
    x = 2,690.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.