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Finding the Fourth Proportional to 2,027.33, 2,796.24 and 1,549.87

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Solution

The fourth proportional to 2,027.33, 2,796.24 and 1,549.87 is: 2,137.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.33 : 2,796.24 = 1,549.87 : x
  2. Step 2: Convert to fraction form
    2,027.33/2,796.24 = 1,549.87/x
  3. Step 3: Cross multiply
    2,027.33x = 2,796.24 × 1,549.87
  4. Step 4: Simplify right side
    2,027.33x = 4,333,794.51
  5. Step 5: Solve for x
    x = 4,333,794.51/2,027.33
  6. Step 6: Final answer
    x = 2,137.69

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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.