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Finding the Fourth Proportional to 1,736.61, 2,396.79 and 1,107.41

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Solution

The fourth proportional to 1,736.61, 2,396.79 and 1,107.41 is: 1,528.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736.61 : 2,396.79 = 1,107.41 : x
  2. Step 2: Convert to fraction form
    1,736.61/2,396.79 = 1,107.41/x
  3. Step 3: Cross multiply
    1,736.61x = 2,396.79 × 1,107.41
  4. Step 4: Simplify right side
    1,736.61x = 2,654,229.21
  5. Step 5: Solve for x
    x = 2,654,229.21/1,736.61
  6. Step 6: Final answer
    x = 1,528.40

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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.