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Finding the Fourth Proportional to 3,136.86, 4,705.89 and 1,494.18

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Solution

The fourth proportional to 3,136.86, 4,705.89 and 1,494.18 is: 2,241.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.86 : 4,705.89 = 1,494.18 : x
  2. Step 2: Convert to fraction form
    3,136.86/4,705.89 = 1,494.18/x
  3. Step 3: Cross multiply
    3,136.86x = 4,705.89 × 1,494.18
  4. Step 4: Simplify right side
    3,136.86x = 7,031,446.72
  5. Step 5: Solve for x
    x = 7,031,446.72/3,136.86
  6. Step 6: Final answer
    x = 2,241.56

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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.