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Finding the Fourth Proportional to 1,889.85, 2,835.60 and 794.46

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Solution

The fourth proportional to 1,889.85, 2,835.60 and 794.46 is: 1,192.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,889.85 : 2,835.60 = 794.46 : x
  2. Step 2: Convert to fraction form
    1,889.85/2,835.60 = 794.46/x
  3. Step 3: Cross multiply
    1,889.85x = 2,835.60 × 794.46
  4. Step 4: Simplify right side
    1,889.85x = 2,252,770.78
  5. Step 5: Solve for x
    x = 2,252,770.78/1,889.85
  6. Step 6: Final answer
    x = 1,192.04

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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.