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Finding the Fourth Proportional to 2,599.46, 3,892.86 and 1,367.90

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Solution

The fourth proportional to 2,599.46, 3,892.86 and 1,367.90 is: 2,048.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.46 : 3,892.86 = 1,367.90 : x
  2. Step 2: Convert to fraction form
    2,599.46/3,892.86 = 1,367.90/x
  3. Step 3: Cross multiply
    2,599.46x = 3,892.86 × 1,367.90
  4. Step 4: Simplify right side
    2,599.46x = 5,325,043.19
  5. Step 5: Solve for x
    x = 5,325,043.19/2,599.46
  6. Step 6: Final answer
    x = 2,048.52

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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.