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Finding the Fourth Proportional to 1,999.35, 2,758.25 and 1,252.80

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Solution

The fourth proportional to 1,999.35, 2,758.25 and 1,252.80 is: 1,728.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.35 : 2,758.25 = 1,252.80 : x
  2. Step 2: Convert to fraction form
    1,999.35/2,758.25 = 1,252.80/x
  3. Step 3: Cross multiply
    1,999.35x = 2,758.25 × 1,252.80
  4. Step 4: Simplify right side
    1,999.35x = 3,455,538.73
  5. Step 5: Solve for x
    x = 3,455,538.73/1,999.35
  6. Step 6: Final answer
    x = 1,728.33

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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.