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Finding the Fourth Proportional to 1,850.83, 2,553.72 and 1,252.24

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Solution

The fourth proportional to 1,850.83, 2,553.72 and 1,252.24 is: 1,727.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,850.83 : 2,553.72 = 1,252.24 : x
  2. Step 2: Convert to fraction form
    1,850.83/2,553.72 = 1,252.24/x
  3. Step 3: Cross multiply
    1,850.83x = 2,553.72 × 1,252.24
  4. Step 4: Simplify right side
    1,850.83x = 3,197,870.33
  5. Step 5: Solve for x
    x = 3,197,870.33/1,850.83
  6. Step 6: Final answer
    x = 1,727.80

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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.