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Finding the Fourth Proportional to 1,909.70, 2,631.82 and 1,489.39

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Solution

The fourth proportional to 1,909.70, 2,631.82 and 1,489.39 is: 2,052.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.70 : 2,631.82 = 1,489.39 : x
  2. Step 2: Convert to fraction form
    1,909.70/2,631.82 = 1,489.39/x
  3. Step 3: Cross multiply
    1,909.70x = 2,631.82 × 1,489.39
  4. Step 4: Simplify right side
    1,909.70x = 3,919,796.09
  5. Step 5: Solve for x
    x = 3,919,796.09/1,909.70
  6. Step 6: Final answer
    x = 2,052.57

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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.