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Finding the Fourth Proportional to 2,611.78, 3,604.49 and 1,433.08

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Solution

The fourth proportional to 2,611.78, 3,604.49 and 1,433.08 is: 1,977.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.78 : 3,604.49 = 1,433.08 : x
  2. Step 2: Convert to fraction form
    2,611.78/3,604.49 = 1,433.08/x
  3. Step 3: Cross multiply
    2,611.78x = 3,604.49 × 1,433.08
  4. Step 4: Simplify right side
    2,611.78x = 5,165,522.53
  5. Step 5: Solve for x
    x = 5,165,522.53/2,611.78
  6. Step 6: Final answer
    x = 1,977.78

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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.