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Finding the Fourth Proportional to 2,194.83, 3,292.43 and 733.98

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Solution

The fourth proportional to 2,194.83, 3,292.43 and 733.98 is: 1,101.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.83 : 3,292.43 = 733.98 : x
  2. Step 2: Convert to fraction form
    2,194.83/3,292.43 = 733.98/x
  3. Step 3: Cross multiply
    2,194.83x = 3,292.43 × 733.98
  4. Step 4: Simplify right side
    2,194.83x = 2,416,574.10
  5. Step 5: Solve for x
    x = 2,416,574.10/2,194.83
  6. Step 6: Final answer
    x = 1,101.03

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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.