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Finding the Fourth Proportional to 2,967.82, 4,454.82 and 2,188.74

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Solution

The fourth proportional to 2,967.82, 4,454.82 and 2,188.74 is: 3,285.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.82 : 4,454.82 = 2,188.74 : x
  2. Step 2: Convert to fraction form
    2,967.82/4,454.82 = 2,188.74/x
  3. Step 3: Cross multiply
    2,967.82x = 4,454.82 × 2,188.74
  4. Step 4: Simplify right side
    2,967.82x = 9,750,442.73
  5. Step 5: Solve for x
    x = 9,750,442.73/2,967.82
  6. Step 6: Final answer
    x = 3,285.39

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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.