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Finding the Fourth Proportional to 3,206.67, 4,809.26 and 1,014.99

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Solution

The fourth proportional to 3,206.67, 4,809.26 and 1,014.99 is: 1,522.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.67 : 4,809.26 = 1,014.99 : x
  2. Step 2: Convert to fraction form
    3,206.67/4,809.26 = 1,014.99/x
  3. Step 3: Cross multiply
    3,206.67x = 4,809.26 × 1,014.99
  4. Step 4: Simplify right side
    3,206.67x = 4,881,321.69
  5. Step 5: Solve for x
    x = 4,881,321.69/3,206.67
  6. Step 6: Final answer
    x = 1,522.24

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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.