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Finding the Fourth Proportional to 2,895.54, 3,997.32 and 2,009.82

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Solution

The fourth proportional to 2,895.54, 3,997.32 and 2,009.82 is: 2,774.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,895.54 : 3,997.32 = 2,009.82 : x
  2. Step 2: Convert to fraction form
    2,895.54/3,997.32 = 2,009.82/x
  3. Step 3: Cross multiply
    2,895.54x = 3,997.32 × 2,009.82
  4. Step 4: Simplify right side
    2,895.54x = 8,033,893.68
  5. Step 5: Solve for x
    x = 8,033,893.68/2,895.54
  6. Step 6: Final answer
    x = 2,774.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.