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Finding the Fourth Proportional to 1,729.94, 2,383.90 and 1,231.19

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Solution

The fourth proportional to 1,729.94, 2,383.90 and 1,231.19 is: 1,696.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.94 : 2,383.90 = 1,231.19 : x
  2. Step 2: Convert to fraction form
    1,729.94/2,383.90 = 1,231.19/x
  3. Step 3: Cross multiply
    1,729.94x = 2,383.90 × 1,231.19
  4. Step 4: Simplify right side
    1,729.94x = 2,935,018.84
  5. Step 5: Solve for x
    x = 2,935,018.84/1,729.94
  6. Step 6: Final answer
    x = 1,696.60

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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.