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Finding the Fourth Proportional to 1,968.48, 2,716.48 and 1,084.28

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Solution

The fourth proportional to 1,968.48, 2,716.48 and 1,084.28 is: 1,496.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.48 : 2,716.48 = 1,084.28 : x
  2. Step 2: Convert to fraction form
    1,968.48/2,716.48 = 1,084.28/x
  3. Step 3: Cross multiply
    1,968.48x = 2,716.48 × 1,084.28
  4. Step 4: Simplify right side
    1,968.48x = 2,945,424.93
  5. Step 5: Solve for x
    x = 2,945,424.93/1,968.48
  6. Step 6: Final answer
    x = 1,496.29

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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.