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Finding the Fourth Proportional to 1,784.54, 2,675.17 and 796.83

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Solution

The fourth proportional to 1,784.54, 2,675.17 and 796.83 is: 1,194.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.54 : 2,675.17 = 796.83 : x
  2. Step 2: Convert to fraction form
    1,784.54/2,675.17 = 796.83/x
  3. Step 3: Cross multiply
    1,784.54x = 2,675.17 × 796.83
  4. Step 4: Simplify right side
    1,784.54x = 2,131,655.71
  5. Step 5: Solve for x
    x = 2,131,655.71/1,784.54
  6. Step 6: Final answer
    x = 1,194.51

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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.