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Finding the Fourth Proportional to 2,179.49, 3,270.15 and 947.94

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Solution

The fourth proportional to 2,179.49, 3,270.15 and 947.94 is: 1,422.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.49 : 3,270.15 = 947.94 : x
  2. Step 2: Convert to fraction form
    2,179.49/3,270.15 = 947.94/x
  3. Step 3: Cross multiply
    2,179.49x = 3,270.15 × 947.94
  4. Step 4: Simplify right side
    2,179.49x = 3,099,905.99
  5. Step 5: Solve for x
    x = 3,099,905.99/2,179.49
  6. Step 6: Final answer
    x = 1,422.31

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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.