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Finding the Fourth Proportional to 2,611.96, 3,604.56 and 1,433.03

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Solution

The fourth proportional to 2,611.96, 3,604.56 and 1,433.03 is: 1,977.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.96 : 3,604.56 = 1,433.03 : x
  2. Step 2: Convert to fraction form
    2,611.96/3,604.56 = 1,433.03/x
  3. Step 3: Cross multiply
    2,611.96x = 3,604.56 × 1,433.03
  4. Step 4: Simplify right side
    2,611.96x = 5,165,438.11
  5. Step 5: Solve for x
    x = 5,165,438.11/2,611.96
  6. Step 6: Final answer
    x = 1,977.61

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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.