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Finding the Fourth Proportional to 2,344.75, 3,519.59 and 1,422.61

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Solution

The fourth proportional to 2,344.75, 3,519.59 and 1,422.61 is: 2,135.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,344.75 : 3,519.59 = 1,422.61 : x
  2. Step 2: Convert to fraction form
    2,344.75/3,519.59 = 1,422.61/x
  3. Step 3: Cross multiply
    2,344.75x = 3,519.59 × 1,422.61
  4. Step 4: Simplify right side
    2,344.75x = 5,007,003.93
  5. Step 5: Solve for x
    x = 5,007,003.93/2,344.75
  6. Step 6: Final answer
    x = 2,135.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.