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Finding the Fourth Proportional to 2,684.76, 4,025.68 and 835.37

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Solution

The fourth proportional to 2,684.76, 4,025.68 and 835.37 is: 1,252.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.76 : 4,025.68 = 835.37 : x
  2. Step 2: Convert to fraction form
    2,684.76/4,025.68 = 835.37/x
  3. Step 3: Cross multiply
    2,684.76x = 4,025.68 × 835.37
  4. Step 4: Simplify right side
    2,684.76x = 3,362,940.28
  5. Step 5: Solve for x
    x = 3,362,940.28/2,684.76
  6. Step 6: Final answer
    x = 1,252.60

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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.