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Finding the Fourth Proportional to 2,587.83, 3,879.21 and 1,027.31

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Solution

The fourth proportional to 2,587.83, 3,879.21 and 1,027.31 is: 1,539.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587.83 : 3,879.21 = 1,027.31 : x
  2. Step 2: Convert to fraction form
    2,587.83/3,879.21 = 1,027.31/x
  3. Step 3: Cross multiply
    2,587.83x = 3,879.21 × 1,027.31
  4. Step 4: Simplify right side
    2,587.83x = 3,985,151.72
  5. Step 5: Solve for x
    x = 3,985,151.72/2,587.83
  6. Step 6: Final answer
    x = 1,539.96

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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.