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Finding the Fourth Proportional to 3,266.87, 4,509.40 and 2,007.98

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Solution

The fourth proportional to 3,266.87, 4,509.40 and 2,007.98 is: 2,771.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.87 : 4,509.40 = 2,007.98 : x
  2. Step 2: Convert to fraction form
    3,266.87/4,509.40 = 2,007.98/x
  3. Step 3: Cross multiply
    3,266.87x = 4,509.40 × 2,007.98
  4. Step 4: Simplify right side
    3,266.87x = 9,054,785.01
  5. Step 5: Solve for x
    x = 9,054,785.01/3,266.87
  6. Step 6: Final answer
    x = 2,771.70

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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.