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Finding the Fourth Proportional to 1,512.19, 2,268.77 and 679.98

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Solution

The fourth proportional to 1,512.19, 2,268.77 and 679.98 is: 1,020.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.19 : 2,268.77 = 679.98 : x
  2. Step 2: Convert to fraction form
    1,512.19/2,268.77 = 679.98/x
  3. Step 3: Cross multiply
    1,512.19x = 2,268.77 × 679.98
  4. Step 4: Simplify right side
    1,512.19x = 1,542,718.22
  5. Step 5: Solve for x
    x = 1,542,718.22/1,512.19
  6. Step 6: Final answer
    x = 1,020.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.