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Finding the Fourth Proportional to 2,611.99, 3,604.48 and 1,433.05

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Solution

The fourth proportional to 2,611.99, 3,604.48 and 1,433.05 is: 1,977.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.99 : 3,604.48 = 1,433.05 : x
  2. Step 2: Convert to fraction form
    2,611.99/3,604.48 = 1,433.05/x
  3. Step 3: Cross multiply
    2,611.99x = 3,604.48 × 1,433.05
  4. Step 4: Simplify right side
    2,611.99x = 5,165,374.88
  5. Step 5: Solve for x
    x = 5,165,374.88/2,611.99
  6. Step 6: Final answer
    x = 1,977.57

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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.