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Finding the Fourth Proportional to 1,995.91, 2,993.68 and 941.48

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Solution

The fourth proportional to 1,995.91, 2,993.68 and 941.48 is: 1,412.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,995.91 : 2,993.68 = 941.48 : x
  2. Step 2: Convert to fraction form
    1,995.91/2,993.68 = 941.48/x
  3. Step 3: Cross multiply
    1,995.91x = 2,993.68 × 941.48
  4. Step 4: Simplify right side
    1,995.91x = 2,818,485.14
  5. Step 5: Solve for x
    x = 2,818,485.14/1,995.91
  6. Step 6: Final answer
    x = 1,412.13

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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.