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Finding the Fourth Proportional to 3,422.86, 4,723.53 and 1,850.95

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Solution

The fourth proportional to 3,422.86, 4,723.53 and 1,850.95 is: 2,554.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.86 : 4,723.53 = 1,850.95 : x
  2. Step 2: Convert to fraction form
    3,422.86/4,723.53 = 1,850.95/x
  3. Step 3: Cross multiply
    3,422.86x = 4,723.53 × 1,850.95
  4. Step 4: Simplify right side
    3,422.86x = 8,743,017.85
  5. Step 5: Solve for x
    x = 8,743,017.85/3,422.86
  6. Step 6: Final answer
    x = 2,554.30

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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.