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Finding the Fourth Proportional to 2,137.31, 3,201.71 and 1,699.31

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Solution

The fourth proportional to 2,137.31, 3,201.71 and 1,699.31 is: 2,545.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.31 : 3,201.71 = 1,699.31 : x
  2. Step 2: Convert to fraction form
    2,137.31/3,201.71 = 1,699.31/x
  3. Step 3: Cross multiply
    2,137.31x = 3,201.71 × 1,699.31
  4. Step 4: Simplify right side
    2,137.31x = 5,440,673.32
  5. Step 5: Solve for x
    x = 5,440,673.32/2,137.31
  6. Step 6: Final answer
    x = 2,545.58

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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.