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Finding the Fourth Proportional to 2,037.74, 3,050.65 and 1,843.19

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Solution

The fourth proportional to 2,037.74, 3,050.65 and 1,843.19 is: 2,759.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.74 : 3,050.65 = 1,843.19 : x
  2. Step 2: Convert to fraction form
    2,037.74/3,050.65 = 1,843.19/x
  3. Step 3: Cross multiply
    2,037.74x = 3,050.65 × 1,843.19
  4. Step 4: Simplify right side
    2,037.74x = 5,622,927.57
  5. Step 5: Solve for x
    x = 5,622,927.57/2,037.74
  6. Step 6: Final answer
    x = 2,759.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.