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Finding the Fourth Proportional to 3,096.64, 4,645.06 and 905.18

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Solution

The fourth proportional to 3,096.64, 4,645.06 and 905.18 is: 1,357.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.64 : 4,645.06 = 905.18 : x
  2. Step 2: Convert to fraction form
    3,096.64/4,645.06 = 905.18/x
  3. Step 3: Cross multiply
    3,096.64x = 4,645.06 × 905.18
  4. Step 4: Simplify right side
    3,096.64x = 4,204,615.41
  5. Step 5: Solve for x
    x = 4,204,615.41/3,096.64
  6. Step 6: Final answer
    x = 1,357.80

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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.