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Finding the Fourth Proportional to 2,817.13, 4,226.15 and 967.79

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Solution

The fourth proportional to 2,817.13, 4,226.15 and 967.79 is: 1,451.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,817.13 : 4,226.15 = 967.79 : x
  2. Step 2: Convert to fraction form
    2,817.13/4,226.15 = 967.79/x
  3. Step 3: Cross multiply
    2,817.13x = 4,226.15 × 967.79
  4. Step 4: Simplify right side
    2,817.13x = 4,090,006.26
  5. Step 5: Solve for x
    x = 4,090,006.26/2,817.13
  6. Step 6: Final answer
    x = 1,451.83

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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.