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Finding the Fourth Proportional to 2,537.31, 3,805.97 and 893.48

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Solution

The fourth proportional to 2,537.31, 3,805.97 and 893.48 is: 1,340.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537.31 : 3,805.97 = 893.48 : x
  2. Step 2: Convert to fraction form
    2,537.31/3,805.97 = 893.48/x
  3. Step 3: Cross multiply
    2,537.31x = 3,805.97 × 893.48
  4. Step 4: Simplify right side
    2,537.31x = 3,400,534.58
  5. Step 5: Solve for x
    x = 3,400,534.58/2,537.31
  6. Step 6: Final answer
    x = 1,340.21

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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.