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Finding the Fourth Proportional to 1,216.26, 1,828.44 and 1,126.08

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Solution

The fourth proportional to 1,216.26, 1,828.44 and 1,126.08 is: 1,692.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.26 : 1,828.44 = 1,126.08 : x
  2. Step 2: Convert to fraction form
    1,216.26/1,828.44 = 1,126.08/x
  3. Step 3: Cross multiply
    1,216.26x = 1,828.44 × 1,126.08
  4. Step 4: Simplify right side
    1,216.26x = 2,058,969.72
  5. Step 5: Solve for x
    x = 2,058,969.72/1,216.26
  6. Step 6: Final answer
    x = 1,692.87

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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.