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Finding the Fourth Proportional to 3,096.34, 4,646.31 and 1,149.88

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Solution

The fourth proportional to 3,096.34, 4,646.31 and 1,149.88 is: 1,725.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.34 : 4,646.31 = 1,149.88 : x
  2. Step 2: Convert to fraction form
    3,096.34/4,646.31 = 1,149.88/x
  3. Step 3: Cross multiply
    3,096.34x = 4,646.31 × 1,149.88
  4. Step 4: Simplify right side
    3,096.34x = 5,342,698.94
  5. Step 5: Solve for x
    x = 5,342,698.94/3,096.34
  6. Step 6: Final answer
    x = 1,725.49

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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.