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Finding the Fourth Proportional to 1,782.90, 2,674 and 550.12

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Solution

The fourth proportional to 1,782.90, 2,674 and 550.12 is: 825.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.90 : 2,674 = 550.12 : x
  2. Step 2: Convert to fraction form
    1,782.90/2,674 = 550.12/x
  3. Step 3: Cross multiply
    1,782.90x = 2,674 × 550.12
  4. Step 4: Simplify right side
    1,782.90x = 1,471,020.88
  5. Step 5: Solve for x
    x = 1,471,020.88/1,782.90
  6. Step 6: Final answer
    x = 825.07

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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.