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Finding the Fourth Proportional to 2,267.53, 3,401.33 and 806.69

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Solution

The fourth proportional to 2,267.53, 3,401.33 and 806.69 is: 1,210.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.53 : 3,401.33 = 806.69 : x
  2. Step 2: Convert to fraction form
    2,267.53/3,401.33 = 806.69/x
  3. Step 3: Cross multiply
    2,267.53x = 3,401.33 × 806.69
  4. Step 4: Simplify right side
    2,267.53x = 2,743,823.37
  5. Step 5: Solve for x
    x = 2,743,823.37/2,267.53
  6. Step 6: Final answer
    x = 1,210.05

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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.