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Finding the Fourth Proportional to 2,684.02, 4,025.76 and 736.42

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Solution

The fourth proportional to 2,684.02, 4,025.76 and 736.42 is: 1,104.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.02 : 4,025.76 = 736.42 : x
  2. Step 2: Convert to fraction form
    2,684.02/4,025.76 = 736.42/x
  3. Step 3: Cross multiply
    2,684.02x = 4,025.76 × 736.42
  4. Step 4: Simplify right side
    2,684.02x = 2,964,650.18
  5. Step 5: Solve for x
    x = 2,964,650.18/2,684.02
  6. Step 6: Final answer
    x = 1,104.56

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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.