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Finding the Fourth Proportional to 2,537.31, 3,805.17 and 893.47

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Solution

The fourth proportional to 2,537.31, 3,805.17 and 893.47 is: 1,339.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537.31 : 3,805.17 = 893.47 : x
  2. Step 2: Convert to fraction form
    2,537.31/3,805.17 = 893.47/x
  3. Step 3: Cross multiply
    2,537.31x = 3,805.17 × 893.47
  4. Step 4: Simplify right side
    2,537.31x = 3,399,805.24
  5. Step 5: Solve for x
    x = 3,399,805.24/2,537.31
  6. Step 6: Final answer
    x = 1,339.93

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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.