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Finding the Fourth Proportional to 2,127.09, 3,187.38 and 893.82

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Solution

The fourth proportional to 2,127.09, 3,187.38 and 893.82 is: 1,339.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127.09 : 3,187.38 = 893.82 : x
  2. Step 2: Convert to fraction form
    2,127.09/3,187.38 = 893.82/x
  3. Step 3: Cross multiply
    2,127.09x = 3,187.38 × 893.82
  4. Step 4: Simplify right side
    2,127.09x = 2,848,951.96
  5. Step 5: Solve for x
    x = 2,848,951.96/2,127.09
  6. Step 6: Final answer
    x = 1,339.37

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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.