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Finding the Fourth Proportional to 2,027.76, 3,039.44 and 1,039.22

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Solution

The fourth proportional to 2,027.76, 3,039.44 and 1,039.22 is: 1,557.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.76 : 3,039.44 = 1,039.22 : x
  2. Step 2: Convert to fraction form
    2,027.76/3,039.44 = 1,039.22/x
  3. Step 3: Cross multiply
    2,027.76x = 3,039.44 × 1,039.22
  4. Step 4: Simplify right side
    2,027.76x = 3,158,646.84
  5. Step 5: Solve for x
    x = 3,158,646.84/2,027.76
  6. Step 6: Final answer
    x = 1,557.70

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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.