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Finding the Fourth Proportional to 1,990.40, 2,745.56 and 1,282.01

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Solution

The fourth proportional to 1,990.40, 2,745.56 and 1,282.01 is: 1,768.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990.40 : 2,745.56 = 1,282.01 : x
  2. Step 2: Convert to fraction form
    1,990.40/2,745.56 = 1,282.01/x
  3. Step 3: Cross multiply
    1,990.40x = 2,745.56 × 1,282.01
  4. Step 4: Simplify right side
    1,990.40x = 3,519,845.44
  5. Step 5: Solve for x
    x = 3,519,845.44/1,990.40
  6. Step 6: Final answer
    x = 1,768.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.