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Finding the Fourth Proportional to 3,270.43, 4,905.93 and 930.45

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Solution

The fourth proportional to 3,270.43, 4,905.93 and 930.45 is: 1,395.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,270.43 : 4,905.93 = 930.45 : x
  2. Step 2: Convert to fraction form
    3,270.43/4,905.93 = 930.45/x
  3. Step 3: Cross multiply
    3,270.43x = 4,905.93 × 930.45
  4. Step 4: Simplify right side
    3,270.43x = 4,564,722.57
  5. Step 5: Solve for x
    x = 4,564,722.57/3,270.43
  6. Step 6: Final answer
    x = 1,395.76

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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.