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Finding the Fourth Proportional to 2,027.86, 3,038.07 and 1,636.60

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Solution

The fourth proportional to 2,027.86, 3,038.07 and 1,636.60 is: 2,451.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.86 : 3,038.07 = 1,636.60 : x
  2. Step 2: Convert to fraction form
    2,027.86/3,038.07 = 1,636.60/x
  3. Step 3: Cross multiply
    2,027.86x = 3,038.07 × 1,636.60
  4. Step 4: Simplify right side
    2,027.86x = 4,972,105.36
  5. Step 5: Solve for x
    x = 4,972,105.36/2,027.86
  6. Step 6: Final answer
    x = 2,451.90

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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.