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Finding the Fourth Proportional to 1,518.24, 2,277.84 and 1,194.24

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Solution

The fourth proportional to 1,518.24, 2,277.84 and 1,194.24 is: 1,791.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,518.24 : 2,277.84 = 1,194.24 : x
  2. Step 2: Convert to fraction form
    1,518.24/2,277.84 = 1,194.24/x
  3. Step 3: Cross multiply
    1,518.24x = 2,277.84 × 1,194.24
  4. Step 4: Simplify right side
    1,518.24x = 2,720,287.64
  5. Step 5: Solve for x
    x = 2,720,287.64/1,518.24
  6. Step 6: Final answer
    x = 1,791.74

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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.