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Finding the Fourth Proportional to 1,446.50, 1,996.71 and 1,337.42

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Solution

The fourth proportional to 1,446.50, 1,996.71 and 1,337.42 is: 1,846.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.50 : 1,996.71 = 1,337.42 : x
  2. Step 2: Convert to fraction form
    1,446.50/1,996.71 = 1,337.42/x
  3. Step 3: Cross multiply
    1,446.50x = 1,996.71 × 1,337.42
  4. Step 4: Simplify right side
    1,446.50x = 2,670,439.89
  5. Step 5: Solve for x
    x = 2,670,439.89/1,446.50
  6. Step 6: Final answer
    x = 1,846.14

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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.