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Finding the Fourth Proportional to 2,408.34, 3,612.52 and 1,021.33

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Solution

The fourth proportional to 2,408.34, 3,612.52 and 1,021.33 is: 1,531.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.34 : 3,612.52 = 1,021.33 : x
  2. Step 2: Convert to fraction form
    2,408.34/3,612.52 = 1,021.33/x
  3. Step 3: Cross multiply
    2,408.34x = 3,612.52 × 1,021.33
  4. Step 4: Simplify right side
    2,408.34x = 3,689,556.99
  5. Step 5: Solve for x
    x = 3,689,556.99/2,408.34
  6. Step 6: Final answer
    x = 1,531.99

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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.