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Finding the Fourth Proportional to 1,999.02, 2,759.49 and 1,213.32

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Solution

The fourth proportional to 1,999.02, 2,759.49 and 1,213.32 is: 1,674.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.02 : 2,759.49 = 1,213.32 : x
  2. Step 2: Convert to fraction form
    1,999.02/2,759.49 = 1,213.32/x
  3. Step 3: Cross multiply
    1,999.02x = 2,759.49 × 1,213.32
  4. Step 4: Simplify right side
    1,999.02x = 3,348,144.41
  5. Step 5: Solve for x
    x = 3,348,144.41/1,999.02
  6. Step 6: Final answer
    x = 1,674.89

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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.