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Finding the Fourth Proportional to 3,096.66, 4,646.92 and 1,928.96

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Solution

The fourth proportional to 3,096.66, 4,646.92 and 1,928.96 is: 2,894.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.66 : 4,646.92 = 1,928.96 : x
  2. Step 2: Convert to fraction form
    3,096.66/4,646.92 = 1,928.96/x
  3. Step 3: Cross multiply
    3,096.66x = 4,646.92 × 1,928.96
  4. Step 4: Simplify right side
    3,096.66x = 8,963,694.75
  5. Step 5: Solve for x
    x = 8,963,694.75/3,096.66
  6. Step 6: Final answer
    x = 2,894.63

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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.