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Finding the Fourth Proportional to 3,270.25, 4,905.49 and 930.39

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Solution

The fourth proportional to 3,270.25, 4,905.49 and 930.39 is: 1,395.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,270.25 : 4,905.49 = 930.39 : x
  2. Step 2: Convert to fraction form
    3,270.25/4,905.49 = 930.39/x
  3. Step 3: Cross multiply
    3,270.25x = 4,905.49 × 930.39
  4. Step 4: Simplify right side
    3,270.25x = 4,563,997.25
  5. Step 5: Solve for x
    x = 4,563,997.25/3,270.25
  6. Step 6: Final answer
    x = 1,395.61

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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.