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Finding the Fourth Proportional to 1,782.72, 2,674.51 and 550.15

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Solution

The fourth proportional to 1,782.72, 2,674.51 and 550.15 is: 825.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.72 : 2,674.51 = 550.15 : x
  2. Step 2: Convert to fraction form
    1,782.72/2,674.51 = 550.15/x
  3. Step 3: Cross multiply
    1,782.72x = 2,674.51 × 550.15
  4. Step 4: Simplify right side
    1,782.72x = 1,471,382.68
  5. Step 5: Solve for x
    x = 1,471,382.68/1,782.72
  6. Step 6: Final answer
    x = 825.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.