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Finding the Fourth Proportional to 1,890.24, 2,834.49 and 794.00

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Solution

The fourth proportional to 1,890.24, 2,834.49 and 794.00 is: 1,190.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,890.24 : 2,834.49 = 794.00 : x
  2. Step 2: Convert to fraction form
    1,890.24/2,834.49 = 794.00/x
  3. Step 3: Cross multiply
    1,890.24x = 2,834.49 × 794.00
  4. Step 4: Simplify right side
    1,890.24x = 2,250,595.12
  5. Step 5: Solve for x
    x = 2,250,595.12/1,890.24
  6. Step 6: Final answer
    x = 1,190.64

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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.