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Finding the Fourth Proportional to 2,814.17, 4,220.96 and 839.82

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Solution

The fourth proportional to 2,814.17, 4,220.96 and 839.82 is: 1,259.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.17 : 4,220.96 = 839.82 : x
  2. Step 2: Convert to fraction form
    2,814.17/4,220.96 = 839.82/x
  3. Step 3: Cross multiply
    2,814.17x = 4,220.96 × 839.82
  4. Step 4: Simplify right side
    2,814.17x = 3,544,848.73
  5. Step 5: Solve for x
    x = 3,544,848.73/2,814.17
  6. Step 6: Final answer
    x = 1,259.64

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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.