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Finding the Fourth Proportional to 3,175.11, 4,761.95 and 1,123.11

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Solution

The fourth proportional to 3,175.11, 4,761.95 and 1,123.11 is: 1,684.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.11 : 4,761.95 = 1,123.11 : x
  2. Step 2: Convert to fraction form
    3,175.11/4,761.95 = 1,123.11/x
  3. Step 3: Cross multiply
    3,175.11x = 4,761.95 × 1,123.11
  4. Step 4: Simplify right side
    3,175.11x = 5,348,188.05
  5. Step 5: Solve for x
    x = 5,348,188.05/3,175.11
  6. Step 6: Final answer
    x = 1,684.41

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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.