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Finding the Fourth Proportional to 1,796.23, 2,478.92 and 999.62

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Solution

The fourth proportional to 1,796.23, 2,478.92 and 999.62 is: 1,379.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,796.23 : 2,478.92 = 999.62 : x
  2. Step 2: Convert to fraction form
    1,796.23/2,478.92 = 999.62/x
  3. Step 3: Cross multiply
    1,796.23x = 2,478.92 × 999.62
  4. Step 4: Simplify right side
    1,796.23x = 2,477,968.56
  5. Step 5: Solve for x
    x = 2,477,968.56/1,796.23
  6. Step 6: Final answer
    x = 1,379.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.