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Finding the Fourth Proportional to 3,270.34, 4,905.47 and 805.18

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Solution

The fourth proportional to 3,270.34, 4,905.47 and 805.18 is: 1,207.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,270.34 : 4,905.47 = 805.18 : x
  2. Step 2: Convert to fraction form
    3,270.34/4,905.47 = 805.18/x
  3. Step 3: Cross multiply
    3,270.34x = 4,905.47 × 805.18
  4. Step 4: Simplify right side
    3,270.34x = 3,949,796.81
  5. Step 5: Solve for x
    x = 3,949,796.81/3,270.34
  6. Step 6: Final answer
    x = 1,207.76

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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.