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Finding the Fourth Proportional to 1,224.26, 1,840.44 and 1,134.08

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Solution

The fourth proportional to 1,224.26, 1,840.44 and 1,134.08 is: 1,704.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.26 : 1,840.44 = 1,134.08 : x
  2. Step 2: Convert to fraction form
    1,224.26/1,840.44 = 1,134.08/x
  3. Step 3: Cross multiply
    1,224.26x = 1,840.44 × 1,134.08
  4. Step 4: Simplify right side
    1,224.26x = 2,087,206.20
  5. Step 5: Solve for x
    x = 2,087,206.20/1,224.26
  6. Step 6: Final answer
    x = 1,704.87

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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.