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Finding the Fourth Proportional to 2,840.49, 3,918.86 and 1,644.82

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Solution

The fourth proportional to 2,840.49, 3,918.86 and 1,644.82 is: 2,269.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,840.49 : 3,918.86 = 1,644.82 : x
  2. Step 2: Convert to fraction form
    2,840.49/3,918.86 = 1,644.82/x
  3. Step 3: Cross multiply
    2,840.49x = 3,918.86 × 1,644.82
  4. Step 4: Simplify right side
    2,840.49x = 6,445,833.21
  5. Step 5: Solve for x
    x = 6,445,833.21/2,840.49
  6. Step 6: Final answer
    x = 2,269.27

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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.