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Finding the Fourth Proportional to 3,164.91, 4,363.34 and 2,219.43

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Solution

The fourth proportional to 3,164.91, 4,363.34 and 2,219.43 is: 3,059.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.91 : 4,363.34 = 2,219.43 : x
  2. Step 2: Convert to fraction form
    3,164.91/4,363.34 = 2,219.43/x
  3. Step 3: Cross multiply
    3,164.91x = 4,363.34 × 2,219.43
  4. Step 4: Simplify right side
    3,164.91x = 9,684,116.60
  5. Step 5: Solve for x
    x = 9,684,116.60/3,164.91
  6. Step 6: Final answer
    x = 3,059.84

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