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Finding the Fourth Proportional to 1,984.43, 2,977.26 and 1,292.49

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Solution

The fourth proportional to 1,984.43, 2,977.26 and 1,292.49 is: 1,939.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.43 : 2,977.26 = 1,292.49 : x
  2. Step 2: Convert to fraction form
    1,984.43/2,977.26 = 1,292.49/x
  3. Step 3: Cross multiply
    1,984.43x = 2,977.26 × 1,292.49
  4. Step 4: Simplify right side
    1,984.43x = 3,848,073.93
  5. Step 5: Solve for x
    x = 3,848,073.93/1,984.43
  6. Step 6: Final answer
    x = 1,939.13

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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.