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Finding the Fourth Proportional to 1,736.34, 2,396.05 and 950.23

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Solution

The fourth proportional to 1,736.34, 2,396.05 and 950.23 is: 1,311.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736.34 : 2,396.05 = 950.23 : x
  2. Step 2: Convert to fraction form
    1,736.34/2,396.05 = 950.23/x
  3. Step 3: Cross multiply
    1,736.34x = 2,396.05 × 950.23
  4. Step 4: Simplify right side
    1,736.34x = 2,276,798.59
  5. Step 5: Solve for x
    x = 2,276,798.59/1,736.34
  6. Step 6: Final answer
    x = 1,311.27

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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.