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Finding the Fourth Proportional to 2,054.26, 3,065.63 and 1,835.56

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Solution

The fourth proportional to 2,054.26, 3,065.63 and 1,835.56 is: 2,739.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.26 : 3,065.63 = 1,835.56 : x
  2. Step 2: Convert to fraction form
    2,054.26/3,065.63 = 1,835.56/x
  3. Step 3: Cross multiply
    2,054.26x = 3,065.63 × 1,835.56
  4. Step 4: Simplify right side
    2,054.26x = 5,627,147.80
  5. Step 5: Solve for x
    x = 5,627,147.80/2,054.26
  6. Step 6: Final answer
    x = 2,739.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.