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Finding the Fourth Proportional to 1,890.84, 2,833.37 and 794.60

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Solution

The fourth proportional to 1,890.84, 2,833.37 and 794.60 is: 1,190.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,890.84 : 2,833.37 = 794.60 : x
  2. Step 2: Convert to fraction form
    1,890.84/2,833.37 = 794.60/x
  3. Step 3: Cross multiply
    1,890.84x = 2,833.37 × 794.60
  4. Step 4: Simplify right side
    1,890.84x = 2,251,404.87
  5. Step 5: Solve for x
    x = 2,251,404.87/1,890.84
  6. Step 6: Final answer
    x = 1,190.69

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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.