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Finding the Fourth Proportional to 2,533.83, 3,797.91 and 1,804.83

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Solution

The fourth proportional to 2,533.83, 3,797.91 and 1,804.83 is: 2,705.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.83 : 3,797.91 = 1,804.83 : x
  2. Step 2: Convert to fraction form
    2,533.83/3,797.91 = 1,804.83/x
  3. Step 3: Cross multiply
    2,533.83x = 3,797.91 × 1,804.83
  4. Step 4: Simplify right side
    2,533.83x = 6,854,581.91
  5. Step 5: Solve for x
    x = 6,854,581.91/2,533.83
  6. Step 6: Final answer
    x = 2,705.23

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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.