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Finding the Fourth Proportional to 2,905.20, 4,349.70 and 2,824.20

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Solution

The fourth proportional to 2,905.20, 4,349.70 and 2,824.20 is: 4,228.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,905.20 : 4,349.70 = 2,824.20 : x
  2. Step 2: Convert to fraction form
    2,905.20/4,349.70 = 2,824.20/x
  3. Step 3: Cross multiply
    2,905.20x = 4,349.70 × 2,824.20
  4. Step 4: Simplify right side
    2,905.20x = 12,284,422.74
  5. Step 5: Solve for x
    x = 12,284,422.74/2,905.20
  6. Step 6: Final answer
    x = 4,228.43

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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.