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Finding the Fourth Proportional to 2,027.68, 3,036.02 and 1,695.98

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Solution

The fourth proportional to 2,027.68, 3,036.02 and 1,695.98 is: 2,539.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.68 : 3,036.02 = 1,695.98 : x
  2. Step 2: Convert to fraction form
    2,027.68/3,036.02 = 1,695.98/x
  3. Step 3: Cross multiply
    2,027.68x = 3,036.02 × 1,695.98
  4. Step 4: Simplify right side
    2,027.68x = 5,149,028.31
  5. Step 5: Solve for x
    x = 5,149,028.31/2,027.68
  6. Step 6: Final answer
    x = 2,539.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.