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Finding the Fourth Proportional to 1,846.44, 2,758.84 and 1,781.84

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Solution

The fourth proportional to 1,846.44, 2,758.84 and 1,781.84 is: 2,662.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.44 : 2,758.84 = 1,781.84 : x
  2. Step 2: Convert to fraction form
    1,846.44/2,758.84 = 1,781.84/x
  3. Step 3: Cross multiply
    1,846.44x = 2,758.84 × 1,781.84
  4. Step 4: Simplify right side
    1,846.44x = 4,915,816.17
  5. Step 5: Solve for x
    x = 4,915,816.17/1,846.44
  6. Step 6: Final answer
    x = 2,662.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.