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Finding the Fourth Proportional to 2,408.34, 3,610.32 and 868.98

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Solution

The fourth proportional to 2,408.34, 3,610.32 and 868.98 is: 1,302.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.34 : 3,610.32 = 868.98 : x
  2. Step 2: Convert to fraction form
    2,408.34/3,610.32 = 868.98/x
  3. Step 3: Cross multiply
    2,408.34x = 3,610.32 × 868.98
  4. Step 4: Simplify right side
    2,408.34x = 3,137,295.87
  5. Step 5: Solve for x
    x = 3,137,295.87/2,408.34
  6. Step 6: Final answer
    x = 1,302.68

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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.