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Finding the Fourth Proportional to 1,993.90, 2,991.66 and 824.87

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Solution

The fourth proportional to 1,993.90, 2,991.66 and 824.87 is: 1,237.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.90 : 2,991.66 = 824.87 : x
  2. Step 2: Convert to fraction form
    1,993.90/2,991.66 = 824.87/x
  3. Step 3: Cross multiply
    1,993.90x = 2,991.66 × 824.87
  4. Step 4: Simplify right side
    1,993.90x = 2,467,730.58
  5. Step 5: Solve for x
    x = 2,467,730.58/1,993.90
  6. Step 6: Final answer
    x = 1,237.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.