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Finding the Fourth Proportional to 2,599.94, 3,900.23 and 1,194.01

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Solution

The fourth proportional to 2,599.94, 3,900.23 and 1,194.01 is: 1,791.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.94 : 3,900.23 = 1,194.01 : x
  2. Step 2: Convert to fraction form
    2,599.94/3,900.23 = 1,194.01/x
  3. Step 3: Cross multiply
    2,599.94x = 3,900.23 × 1,194.01
  4. Step 4: Simplify right side
    2,599.94x = 4,656,913.62
  5. Step 5: Solve for x
    x = 4,656,913.62/2,599.94
  6. Step 6: Final answer
    x = 1,791.16

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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.