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Finding the Fourth Proportional to 2,710.70, 3,741.17 and 1,968.03

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Solution

The fourth proportional to 2,710.70, 3,741.17 and 1,968.03 is: 2,716.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.70 : 3,741.17 = 1,968.03 : x
  2. Step 2: Convert to fraction form
    2,710.70/3,741.17 = 1,968.03/x
  3. Step 3: Cross multiply
    2,710.70x = 3,741.17 × 1,968.03
  4. Step 4: Simplify right side
    2,710.70x = 7,362,716.09
  5. Step 5: Solve for x
    x = 7,362,716.09/2,710.70
  6. Step 6: Final answer
    x = 2,716.17

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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.