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Finding the Fourth Proportional to 3,266.83, 4,509.32 and 2,072.64

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Solution

The fourth proportional to 3,266.83, 4,509.32 and 2,072.64 is: 2,860.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.83 : 4,509.32 = 2,072.64 : x
  2. Step 2: Convert to fraction form
    3,266.83/4,509.32 = 2,072.64/x
  3. Step 3: Cross multiply
    3,266.83x = 4,509.32 × 2,072.64
  4. Step 4: Simplify right side
    3,266.83x = 9,346,189.85
  5. Step 5: Solve for x
    x = 9,346,189.85/3,266.83
  6. Step 6: Final answer
    x = 2,860.93

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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.