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Finding the Fourth Proportional to 3,267.85, 4,509.59 and 1,775.69

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Solution

The fourth proportional to 3,267.85, 4,509.59 and 1,775.69 is: 2,450.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,267.85 : 4,509.59 = 1,775.69 : x
  2. Step 2: Convert to fraction form
    3,267.85/4,509.59 = 1,775.69/x
  3. Step 3: Cross multiply
    3,267.85x = 4,509.59 × 1,775.69
  4. Step 4: Simplify right side
    3,267.85x = 8,007,636.26
  5. Step 5: Solve for x
    x = 8,007,636.26/3,267.85
  6. Step 6: Final answer
    x = 2,450.43

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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.