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Finding the Fourth Proportional to 3,218.86, 4,828.65 and 1,027.09

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Solution

The fourth proportional to 3,218.86, 4,828.65 and 1,027.09 is: 1,540.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,218.86 : 4,828.65 = 1,027.09 : x
  2. Step 2: Convert to fraction form
    3,218.86/4,828.65 = 1,027.09/x
  3. Step 3: Cross multiply
    3,218.86x = 4,828.65 × 1,027.09
  4. Step 4: Simplify right side
    3,218.86x = 4,959,458.13
  5. Step 5: Solve for x
    x = 4,959,458.13/3,218.86
  6. Step 6: Final answer
    x = 1,540.75

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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.