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Finding the Fourth Proportional to 1,736.33, 2,394.05 and 1,238.76

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Solution

The fourth proportional to 1,736.33, 2,394.05 and 1,238.76 is: 1,708.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736.33 : 2,394.05 = 1,238.76 : x
  2. Step 2: Convert to fraction form
    1,736.33/2,394.05 = 1,238.76/x
  3. Step 3: Cross multiply
    1,736.33x = 2,394.05 × 1,238.76
  4. Step 4: Simplify right side
    1,736.33x = 2,965,647.18
  5. Step 5: Solve for x
    x = 2,965,647.18/1,736.33
  6. Step 6: Final answer
    x = 1,708.00

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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.