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Finding the Fourth Proportional to 3,076.76, 4,614.50 and 885

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Solution

The fourth proportional to 3,076.76, 4,614.50 and 885 is: 1,327.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.76 : 4,614.50 = 885 : x
  2. Step 2: Convert to fraction form
    3,076.76/4,614.50 = 885/x
  3. Step 3: Cross multiply
    3,076.76x = 4,614.50 × 885
  4. Step 4: Simplify right side
    3,076.76x = 4,083,832.50
  5. Step 5: Solve for x
    x = 4,083,832.50/3,076.76
  6. Step 6: Final answer
    x = 1,327.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.