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Finding the Fourth Proportional to 3,131.37, 4,691.93 and 1,899.18

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Solution

The fourth proportional to 3,131.37, 4,691.93 and 1,899.18 is: 2,845.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.37 : 4,691.93 = 1,899.18 : x
  2. Step 2: Convert to fraction form
    3,131.37/4,691.93 = 1,899.18/x
  3. Step 3: Cross multiply
    3,131.37x = 4,691.93 × 1,899.18
  4. Step 4: Simplify right side
    3,131.37x = 8,910,810.12
  5. Step 5: Solve for x
    x = 8,910,810.12/3,131.37
  6. Step 6: Final answer
    x = 2,845.66

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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.