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Finding the Fourth Proportional to 1,999.56, 2,992.05 and 1,178.22

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Solution

The fourth proportional to 1,999.56, 2,992.05 and 1,178.22 is: 1,763.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.56 : 2,992.05 = 1,178.22 : x
  2. Step 2: Convert to fraction form
    1,999.56/2,992.05 = 1,178.22/x
  3. Step 3: Cross multiply
    1,999.56x = 2,992.05 × 1,178.22
  4. Step 4: Simplify right side
    1,999.56x = 3,525,293.15
  5. Step 5: Solve for x
    x = 3,525,293.15/1,999.56
  6. Step 6: Final answer
    x = 1,763.03

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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.