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Finding the Fourth Proportional to 1,840.84, 2,760.91 and 1,151.75

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Solution

The fourth proportional to 1,840.84, 2,760.91 and 1,151.75 is: 1,727.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,840.84 : 2,760.91 = 1,151.75 : x
  2. Step 2: Convert to fraction form
    1,840.84/2,760.91 = 1,151.75/x
  3. Step 3: Cross multiply
    1,840.84x = 2,760.91 × 1,151.75
  4. Step 4: Simplify right side
    1,840.84x = 3,179,878.09
  5. Step 5: Solve for x
    x = 3,179,878.09/1,840.84
  6. Step 6: Final answer
    x = 1,727.41

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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.