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Finding the Fourth Proportional to 2,710.68, 3,736.63 and 2,120.19

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Solution

The fourth proportional to 2,710.68, 3,736.63 and 2,120.19 is: 2,922.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.68 : 3,736.63 = 2,120.19 : x
  2. Step 2: Convert to fraction form
    2,710.68/3,736.63 = 2,120.19/x
  3. Step 3: Cross multiply
    2,710.68x = 3,736.63 × 2,120.19
  4. Step 4: Simplify right side
    2,710.68x = 7,922,365.56
  5. Step 5: Solve for x
    x = 7,922,365.56/2,710.68
  6. Step 6: Final answer
    x = 2,922.65

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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.