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Finding the Fourth Proportional to 2,666.17, 3,999.84 and 817.42

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Solution

The fourth proportional to 2,666.17, 3,999.84 and 817.42 is: 1,226.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.17 : 3,999.84 = 817.42 : x
  2. Step 2: Convert to fraction form
    2,666.17/3,999.84 = 817.42/x
  3. Step 3: Cross multiply
    2,666.17x = 3,999.84 × 817.42
  4. Step 4: Simplify right side
    2,666.17x = 3,269,551.15
  5. Step 5: Solve for x
    x = 3,269,551.15/2,666.17
  6. Step 6: Final answer
    x = 1,226.31

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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.