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Finding the Fourth Proportional to 2,398.50, 3,302.91 and 2,297.34

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Solution

The fourth proportional to 2,398.50, 3,302.91 and 2,297.34 is: 3,163.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.50 : 3,302.91 = 2,297.34 : x
  2. Step 2: Convert to fraction form
    2,398.50/3,302.91 = 2,297.34/x
  3. Step 3: Cross multiply
    2,398.50x = 3,302.91 × 2,297.34
  4. Step 4: Simplify right side
    2,398.50x = 7,587,907.26
  5. Step 5: Solve for x
    x = 7,587,907.26/2,398.50
  6. Step 6: Final answer
    x = 3,163.61

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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.