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Finding the Fourth Proportional to 2,361.78, 3,549.87 and 2,306.34

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Solution

The fourth proportional to 2,361.78, 3,549.87 and 2,306.34 is: 3,466.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.78 : 3,549.87 = 2,306.34 : x
  2. Step 2: Convert to fraction form
    2,361.78/3,549.87 = 2,306.34/x
  3. Step 3: Cross multiply
    2,361.78x = 3,549.87 × 2,306.34
  4. Step 4: Simplify right side
    2,361.78x = 8,187,207.18
  5. Step 5: Solve for x
    x = 8,187,207.18/2,361.78
  6. Step 6: Final answer
    x = 3,466.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.