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Finding the Fourth Proportional to 2,305.35, 3,450.06 and 1,427.49

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Solution

The fourth proportional to 2,305.35, 3,450.06 and 1,427.49 is: 2,136.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.35 : 3,450.06 = 1,427.49 : x
  2. Step 2: Convert to fraction form
    2,305.35/3,450.06 = 1,427.49/x
  3. Step 3: Cross multiply
    2,305.35x = 3,450.06 × 1,427.49
  4. Step 4: Simplify right side
    2,305.35x = 4,924,926.15
  5. Step 5: Solve for x
    x = 4,924,926.15/2,305.35
  6. Step 6: Final answer
    x = 2,136.30

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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.