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Finding the Fourth Proportional to 1,999.98, 2,762.64 and 1,608.48

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Solution

The fourth proportional to 1,999.98, 2,762.64 and 1,608.48 is: 2,221.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.98 : 2,762.64 = 1,608.48 : x
  2. Step 2: Convert to fraction form
    1,999.98/2,762.64 = 1,608.48/x
  3. Step 3: Cross multiply
    1,999.98x = 2,762.64 × 1,608.48
  4. Step 4: Simplify right side
    1,999.98x = 4,443,651.19
  5. Step 5: Solve for x
    x = 4,443,651.19/1,999.98
  6. Step 6: Final answer
    x = 2,221.85

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