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Finding the Fourth Proportional to 3,131.69, 4,699.80 and 2,522.75

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Solution

The fourth proportional to 3,131.69, 4,699.80 and 2,522.75 is: 3,785.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.69 : 4,699.80 = 2,522.75 : x
  2. Step 2: Convert to fraction form
    3,131.69/4,699.80 = 2,522.75/x
  3. Step 3: Cross multiply
    3,131.69x = 4,699.80 × 2,522.75
  4. Step 4: Simplify right side
    3,131.69x = 11,856,396.95
  5. Step 5: Solve for x
    x = 11,856,396.95/3,131.69
  6. Step 6: Final answer
    x = 3,785.95

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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.