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Finding the Fourth Proportional to 1,736.36, 2,392.98 and 1,293.56

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Solution

The fourth proportional to 1,736.36, 2,392.98 and 1,293.56 is: 1,782.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736.36 : 2,392.98 = 1,293.56 : x
  2. Step 2: Convert to fraction form
    1,736.36/2,392.98 = 1,293.56/x
  3. Step 3: Cross multiply
    1,736.36x = 2,392.98 × 1,293.56
  4. Step 4: Simplify right side
    1,736.36x = 3,095,463.21
  5. Step 5: Solve for x
    x = 3,095,463.21/1,736.36
  6. Step 6: Final answer
    x = 1,782.73

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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.