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Finding the Fourth Proportional to 1,736.49, 2,396.70 and 1,206.48

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Solution

The fourth proportional to 1,736.49, 2,396.70 and 1,206.48 is: 1,665.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736.49 : 2,396.70 = 1,206.48 : x
  2. Step 2: Convert to fraction form
    1,736.49/2,396.70 = 1,206.48/x
  3. Step 3: Cross multiply
    1,736.49x = 2,396.70 × 1,206.48
  4. Step 4: Simplify right side
    1,736.49x = 2,891,570.62
  5. Step 5: Solve for x
    x = 2,891,570.62/1,736.49
  6. Step 6: Final answer
    x = 1,665.18

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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.