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Finding the Fourth Proportional to 1,796.08, 2,694.06 and 564.07

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Solution

The fourth proportional to 1,796.08, 2,694.06 and 564.07 is: 846.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,796.08 : 2,694.06 = 564.07 : x
  2. Step 2: Convert to fraction form
    1,796.08/2,694.06 = 564.07/x
  3. Step 3: Cross multiply
    1,796.08x = 2,694.06 × 564.07
  4. Step 4: Simplify right side
    1,796.08x = 1,519,638.42
  5. Step 5: Solve for x
    x = 1,519,638.42/1,796.08
  6. Step 6: Final answer
    x = 846.09

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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.