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Finding the Fourth Proportional to 1,736.73, 2,396.67 and 950.77

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Solution

The fourth proportional to 1,736.73, 2,396.67 and 950.77 is: 1,312.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736.73 : 2,396.67 = 950.77 : x
  2. Step 2: Convert to fraction form
    1,736.73/2,396.67 = 950.77/x
  3. Step 3: Cross multiply
    1,736.73x = 2,396.67 × 950.77
  4. Step 4: Simplify right side
    1,736.73x = 2,278,681.94
  5. Step 5: Solve for x
    x = 2,278,681.94/1,736.73
  6. Step 6: Final answer
    x = 1,312.05

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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.