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Finding the Fourth Proportional to 3,074.36, 4,604.99 and 1,609.07

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Solution

The fourth proportional to 3,074.36, 4,604.99 and 1,609.07 is: 2,410.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.36 : 4,604.99 = 1,609.07 : x
  2. Step 2: Convert to fraction form
    3,074.36/4,604.99 = 1,609.07/x
  3. Step 3: Cross multiply
    3,074.36x = 4,604.99 × 1,609.07
  4. Step 4: Simplify right side
    3,074.36x = 7,409,720.19
  5. Step 5: Solve for x
    x = 7,409,720.19/3,074.36
  6. Step 6: Final answer
    x = 2,410.17

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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.