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Finding the Fourth Proportional to 1,939.30, 2,909.45 and 843.87

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Solution

The fourth proportional to 1,939.30, 2,909.45 and 843.87 is: 1,266.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,939.30 : 2,909.45 = 843.87 : x
  2. Step 2: Convert to fraction form
    1,939.30/2,909.45 = 843.87/x
  3. Step 3: Cross multiply
    1,939.30x = 2,909.45 × 843.87
  4. Step 4: Simplify right side
    1,939.30x = 2,455,197.57
  5. Step 5: Solve for x
    x = 2,455,197.57/1,939.30
  6. Step 6: Final answer
    x = 1,266.02

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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.