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Finding the Fourth Proportional to 2,533.87, 3,804.63 and 2,066.77

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Solution

The fourth proportional to 2,533.87, 3,804.63 and 2,066.77 is: 3,103.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.87 : 3,804.63 = 2,066.77 : x
  2. Step 2: Convert to fraction form
    2,533.87/3,804.63 = 2,066.77/x
  3. Step 3: Cross multiply
    2,533.87x = 3,804.63 × 2,066.77
  4. Step 4: Simplify right side
    2,533.87x = 7,863,295.15
  5. Step 5: Solve for x
    x = 7,863,295.15/2,533.87
  6. Step 6: Final answer
    x = 3,103.27

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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.