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Finding the Fourth Proportional to 1,999.12, 2,758.62 and 1,213.06

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Solution

The fourth proportional to 1,999.12, 2,758.62 and 1,213.06 is: 1,673.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.12 : 2,758.62 = 1,213.06 : x
  2. Step 2: Convert to fraction form
    1,999.12/2,758.62 = 1,213.06/x
  3. Step 3: Cross multiply
    1,999.12x = 2,758.62 × 1,213.06
  4. Step 4: Simplify right side
    1,999.12x = 3,346,371.58
  5. Step 5: Solve for x
    x = 3,346,371.58/1,999.12
  6. Step 6: Final answer
    x = 1,673.92

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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.