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Finding the Fourth Proportional to 1,832.94, 2,529.27 and 1,244.25

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Solution

The fourth proportional to 1,832.94, 2,529.27 and 1,244.25 is: 1,716.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.94 : 2,529.27 = 1,244.25 : x
  2. Step 2: Convert to fraction form
    1,832.94/2,529.27 = 1,244.25/x
  3. Step 3: Cross multiply
    1,832.94x = 2,529.27 × 1,244.25
  4. Step 4: Simplify right side
    1,832.94x = 3,147,044.20
  5. Step 5: Solve for x
    x = 3,147,044.20/1,832.94
  6. Step 6: Final answer
    x = 1,716.94

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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.