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Finding the Fourth Proportional to 2,908.86, 4,362.64 and 828.82

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Solution

The fourth proportional to 2,908.86, 4,362.64 and 828.82 is: 1,243.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,908.86 : 4,362.64 = 828.82 : x
  2. Step 2: Convert to fraction form
    2,908.86/4,362.64 = 828.82/x
  3. Step 3: Cross multiply
    2,908.86x = 4,362.64 × 828.82
  4. Step 4: Simplify right side
    2,908.86x = 3,615,843.28
  5. Step 5: Solve for x
    x = 3,615,843.28/2,908.86
  6. Step 6: Final answer
    x = 1,243.04

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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.