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Finding the Fourth Proportional to 3,151.44, 4,725.72 and 1,098

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Solution

The fourth proportional to 3,151.44, 4,725.72 and 1,098 is: 1,646.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,151.44 : 4,725.72 = 1,098 : x
  2. Step 2: Convert to fraction form
    3,151.44/4,725.72 = 1,098/x
  3. Step 3: Cross multiply
    3,151.44x = 4,725.72 × 1,098
  4. Step 4: Simplify right side
    3,151.44x = 5,188,840.56
  5. Step 5: Solve for x
    x = 5,188,840.56/3,151.44
  6. Step 6: Final answer
    x = 1,646.50

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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.