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Finding the Fourth Proportional to 2,587.68, 3,881.60 and 1,027.96

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Solution

The fourth proportional to 2,587.68, 3,881.60 and 1,027.96 is: 1,541.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587.68 : 3,881.60 = 1,027.96 : x
  2. Step 2: Convert to fraction form
    2,587.68/3,881.60 = 1,027.96/x
  3. Step 3: Cross multiply
    2,587.68x = 3,881.60 × 1,027.96
  4. Step 4: Simplify right side
    2,587.68x = 3,990,129.54
  5. Step 5: Solve for x
    x = 3,990,129.54/2,587.68
  6. Step 6: Final answer
    x = 1,541.97

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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.