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Finding the Fourth Proportional to 1,993.71, 2,990.59 and 532.85

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Solution

The fourth proportional to 1,993.71, 2,990.59 and 532.85 is: 799.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.71 : 2,990.59 = 532.85 : x
  2. Step 2: Convert to fraction form
    1,993.71/2,990.59 = 532.85/x
  3. Step 3: Cross multiply
    1,993.71x = 2,990.59 × 532.85
  4. Step 4: Simplify right side
    1,993.71x = 1,593,519.60
  5. Step 5: Solve for x
    x = 1,593,519.60/1,993.71
  6. Step 6: Final answer
    x = 799.27

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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.