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Finding the Fourth Proportional to 1,986.44, 2,734.72 and 1,690

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Solution

The fourth proportional to 1,986.44, 2,734.72 and 1,690 is: 2,326.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.44 : 2,734.72 = 1,690 : x
  2. Step 2: Convert to fraction form
    1,986.44/2,734.72 = 1,690/x
  3. Step 3: Cross multiply
    1,986.44x = 2,734.72 × 1,690
  4. Step 4: Simplify right side
    1,986.44x = 4,621,676.80
  5. Step 5: Solve for x
    x = 4,621,676.80/1,986.44
  6. Step 6: Final answer
    x = 2,326.61

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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.