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Finding the Fourth Proportional to 1,743.73, 2,406.73 and 1,206.12

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Solution

The fourth proportional to 1,743.73, 2,406.73 and 1,206.12 is: 1,664.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.73 : 2,406.73 = 1,206.12 : x
  2. Step 2: Convert to fraction form
    1,743.73/2,406.73 = 1,206.12/x
  3. Step 3: Cross multiply
    1,743.73x = 2,406.73 × 1,206.12
  4. Step 4: Simplify right side
    1,743.73x = 2,902,802.17
  5. Step 5: Solve for x
    x = 2,902,802.17/1,743.73
  6. Step 6: Final answer
    x = 1,664.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.