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Finding the Fourth Proportional to 1,999.12, 2,758.68 and 1,114.98

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Solution

The fourth proportional to 1,999.12, 2,758.68 and 1,114.98 is: 1,538.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.12 : 2,758.68 = 1,114.98 : x
  2. Step 2: Convert to fraction form
    1,999.12/2,758.68 = 1,114.98/x
  3. Step 3: Cross multiply
    1,999.12x = 2,758.68 × 1,114.98
  4. Step 4: Simplify right side
    1,999.12x = 3,075,873.03
  5. Step 5: Solve for x
    x = 3,075,873.03/1,999.12
  6. Step 6: Final answer
    x = 1,538.61

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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.