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Finding the Fourth Proportional to 1,861.08, 2,791.26 and 706.60

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Solution

The fourth proportional to 1,861.08, 2,791.26 and 706.60 is: 1,059.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,861.08 : 2,791.26 = 706.60 : x
  2. Step 2: Convert to fraction form
    1,861.08/2,791.26 = 706.60/x
  3. Step 3: Cross multiply
    1,861.08x = 2,791.26 × 706.60
  4. Step 4: Simplify right side
    1,861.08x = 1,972,304.32
  5. Step 5: Solve for x
    x = 1,972,304.32/1,861.08
  6. Step 6: Final answer
    x = 1,059.76

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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.