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Finding the Fourth Proportional to 1,894.71, 2,842.38 and 799.23

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Solution

The fourth proportional to 1,894.71, 2,842.38 and 799.23 is: 1,198.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894.71 : 2,842.38 = 799.23 : x
  2. Step 2: Convert to fraction form
    1,894.71/2,842.38 = 799.23/x
  3. Step 3: Cross multiply
    1,894.71x = 2,842.38 × 799.23
  4. Step 4: Simplify right side
    1,894.71x = 2,271,715.37
  5. Step 5: Solve for x
    x = 2,271,715.37/1,894.71
  6. Step 6: Final answer
    x = 1,198.98

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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.