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Finding the Fourth Proportional to 3,342, 4,611.87 and 1,849.95

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Solution

The fourth proportional to 3,342, 4,611.87 and 1,849.95 is: 2,552.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,342 : 4,611.87 = 1,849.95 : x
  2. Step 2: Convert to fraction form
    3,342/4,611.87 = 1,849.95/x
  3. Step 3: Cross multiply
    3,342x = 4,611.87 × 1,849.95
  4. Step 4: Simplify right side
    3,342x = 8,531,728.91
  5. Step 5: Solve for x
    x = 8,531,728.91/3,342
  6. Step 6: Final answer
    x = 2,552.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.