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Finding the Fourth Proportional to 3,076.96, 4,614.92 and 885.18

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Solution

The fourth proportional to 3,076.96, 4,614.92 and 885.18 is: 1,327.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.96 : 4,614.92 = 885.18 : x
  2. Step 2: Convert to fraction form
    3,076.96/4,614.92 = 885.18/x
  3. Step 3: Cross multiply
    3,076.96x = 4,614.92 × 885.18
  4. Step 4: Simplify right side
    3,076.96x = 4,085,034.89
  5. Step 5: Solve for x
    x = 4,085,034.89/3,076.96
  6. Step 6: Final answer
    x = 1,327.62

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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.