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Finding the Fourth Proportional to 1,891.02, 2,835.78 and 794.64

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Solution

The fourth proportional to 1,891.02, 2,835.78 and 794.64 is: 1,191.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891.02 : 2,835.78 = 794.64 : x
  2. Step 2: Convert to fraction form
    1,891.02/2,835.78 = 794.64/x
  3. Step 3: Cross multiply
    1,891.02x = 2,835.78 × 794.64
  4. Step 4: Simplify right side
    1,891.02x = 2,253,424.22
  5. Step 5: Solve for x
    x = 2,253,424.22/1,891.02
  6. Step 6: Final answer
    x = 1,191.64

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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.