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Finding the Fourth Proportional to 2,192.16, 3,027.74 and 1,745.52

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Solution

The fourth proportional to 2,192.16, 3,027.74 and 1,745.52 is: 2,410.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192.16 : 3,027.74 = 1,745.52 : x
  2. Step 2: Convert to fraction form
    2,192.16/3,027.74 = 1,745.52/x
  3. Step 3: Cross multiply
    2,192.16x = 3,027.74 × 1,745.52
  4. Step 4: Simplify right side
    2,192.16x = 5,284,985.09
  5. Step 5: Solve for x
    x = 5,284,985.09/2,192.16
  6. Step 6: Final answer
    x = 2,410.86

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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.