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Finding the Fourth Proportional to 2,809.17, 4,213.60 and 861.37

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Solution

The fourth proportional to 2,809.17, 4,213.60 and 861.37 is: 1,292.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.17 : 4,213.60 = 861.37 : x
  2. Step 2: Convert to fraction form
    2,809.17/4,213.60 = 861.37/x
  3. Step 3: Cross multiply
    2,809.17x = 4,213.60 × 861.37
  4. Step 4: Simplify right side
    2,809.17x = 3,629,455.94
  5. Step 5: Solve for x
    x = 3,629,455.94/2,809.17
  6. Step 6: Final answer
    x = 1,292.00

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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.