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Finding the Fourth Proportional to 2,193.80, 3,290.66 and 550.34

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Solution

The fourth proportional to 2,193.80, 3,290.66 and 550.34 is: 825.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.80 : 3,290.66 = 550.34 : x
  2. Step 2: Convert to fraction form
    2,193.80/3,290.66 = 550.34/x
  3. Step 3: Cross multiply
    2,193.80x = 3,290.66 × 550.34
  4. Step 4: Simplify right side
    2,193.80x = 1,810,981.82
  5. Step 5: Solve for x
    x = 1,810,981.82/2,193.80
  6. Step 6: Final answer
    x = 825.50

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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.