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Finding the Fourth Proportional to 1,736.41, 2,396.28 and 950.50

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Solution

The fourth proportional to 1,736.41, 2,396.28 and 950.50 is: 1,311.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736.41 : 2,396.28 = 950.50 : x
  2. Step 2: Convert to fraction form
    1,736.41/2,396.28 = 950.50/x
  3. Step 3: Cross multiply
    1,736.41x = 2,396.28 × 950.50
  4. Step 4: Simplify right side
    1,736.41x = 2,277,664.14
  5. Step 5: Solve for x
    x = 2,277,664.14/1,736.41
  6. Step 6: Final answer
    x = 1,311.71

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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.