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Finding the Fourth Proportional to 3,076.09, 4,614.45 and 885.14

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Solution

The fourth proportional to 3,076.09, 4,614.45 and 885.14 is: 1,327.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.09 : 4,614.45 = 885.14 : x
  2. Step 2: Convert to fraction form
    3,076.09/4,614.45 = 885.14/x
  3. Step 3: Cross multiply
    3,076.09x = 4,614.45 × 885.14
  4. Step 4: Simplify right side
    3,076.09x = 4,084,456.12
  5. Step 5: Solve for x
    x = 4,084,456.12/3,076.09
  6. Step 6: Final answer
    x = 1,327.81

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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.