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Finding the Fourth Proportional to 2,027.26, 2,795.07 and 1,653.85

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Solution

The fourth proportional to 2,027.26, 2,795.07 and 1,653.85 is: 2,280.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.26 : 2,795.07 = 1,653.85 : x
  2. Step 2: Convert to fraction form
    2,027.26/2,795.07 = 1,653.85/x
  3. Step 3: Cross multiply
    2,027.26x = 2,795.07 × 1,653.85
  4. Step 4: Simplify right side
    2,027.26x = 4,622,626.52
  5. Step 5: Solve for x
    x = 4,622,626.52/2,027.26
  6. Step 6: Final answer
    x = 2,280.23

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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.