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Finding the Fourth Proportional to 1,796.20, 2,478.73 and 999.49

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Solution

The fourth proportional to 1,796.20, 2,478.73 and 999.49 is: 1,379.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,796.20 : 2,478.73 = 999.49 : x
  2. Step 2: Convert to fraction form
    1,796.20/2,478.73 = 999.49/x
  3. Step 3: Cross multiply
    1,796.20x = 2,478.73 × 999.49
  4. Step 4: Simplify right side
    1,796.20x = 2,477,465.85
  5. Step 5: Solve for x
    x = 2,477,465.85/1,796.20
  6. Step 6: Final answer
    x = 1,379.28

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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.