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Finding the Fourth Proportional to 3,219.54, 4,441.90 and 2,224.45

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Solution

The fourth proportional to 3,219.54, 4,441.90 and 2,224.45 is: 3,069.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219.54 : 4,441.90 = 2,224.45 : x
  2. Step 2: Convert to fraction form
    3,219.54/4,441.90 = 2,224.45/x
  3. Step 3: Cross multiply
    3,219.54x = 4,441.90 × 2,224.45
  4. Step 4: Simplify right side
    3,219.54x = 9,880,784.46
  5. Step 5: Solve for x
    x = 9,880,784.46/3,219.54
  6. Step 6: Final answer
    x = 3,069.01

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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.