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Finding the Fourth Proportional to 2,587.91, 3,571.22 and 1,408.96

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Solution

The fourth proportional to 2,587.91, 3,571.22 and 1,408.96 is: 1,944.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587.91 : 3,571.22 = 1,408.96 : x
  2. Step 2: Convert to fraction form
    2,587.91/3,571.22 = 1,408.96/x
  3. Step 3: Cross multiply
    2,587.91x = 3,571.22 × 1,408.96
  4. Step 4: Simplify right side
    2,587.91x = 5,031,688.28
  5. Step 5: Solve for x
    x = 5,031,688.28/2,587.91
  6. Step 6: Final answer
    x = 1,944.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.