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Finding the Fourth Proportional to 1,814.27, 2,720.18 and 839.84

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Solution

The fourth proportional to 1,814.27, 2,720.18 and 839.84 is: 1,259.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,814.27 : 2,720.18 = 839.84 : x
  2. Step 2: Convert to fraction form
    1,814.27/2,720.18 = 839.84/x
  3. Step 3: Cross multiply
    1,814.27x = 2,720.18 × 839.84
  4. Step 4: Simplify right side
    1,814.27x = 2,284,504.47
  5. Step 5: Solve for x
    x = 2,284,504.47/1,814.27
  6. Step 6: Final answer
    x = 1,259.19

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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.