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Finding the Fourth Proportional to 2,027.83, 2,796.07 and 1,497.48

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Solution

The fourth proportional to 2,027.83, 2,796.07 and 1,497.48 is: 2,064.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.83 : 2,796.07 = 1,497.48 : x
  2. Step 2: Convert to fraction form
    2,027.83/2,796.07 = 1,497.48/x
  3. Step 3: Cross multiply
    2,027.83x = 2,796.07 × 1,497.48
  4. Step 4: Simplify right side
    2,027.83x = 4,187,055.16
  5. Step 5: Solve for x
    x = 4,187,055.16/2,027.83
  6. Step 6: Final answer
    x = 2,064.80

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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.