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Finding the Fourth Proportional to 2,587.92, 3,571.33 and 1,408.99

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Solution

The fourth proportional to 2,587.92, 3,571.33 and 1,408.99 is: 1,944.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587.92 : 3,571.33 = 1,408.99 : x
  2. Step 2: Convert to fraction form
    2,587.92/3,571.33 = 1,408.99/x
  3. Step 3: Cross multiply
    2,587.92x = 3,571.33 × 1,408.99
  4. Step 4: Simplify right side
    2,587.92x = 5,031,968.26
  5. Step 5: Solve for x
    x = 5,031,968.26/2,587.92
  6. Step 6: Final answer
    x = 1,944.41

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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.