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Finding the Fourth Proportional to 1,782.94, 2,460.50 and 996.97

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Solution

The fourth proportional to 1,782.94, 2,460.50 and 996.97 is: 1,375.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.94 : 2,460.50 = 996.97 : x
  2. Step 2: Convert to fraction form
    1,782.94/2,460.50 = 996.97/x
  3. Step 3: Cross multiply
    1,782.94x = 2,460.50 × 996.97
  4. Step 4: Simplify right side
    1,782.94x = 2,453,039.70
  5. Step 5: Solve for x
    x = 2,453,039.70/1,782.94
  6. Step 6: Final answer
    x = 1,375.84

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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.