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Finding the Fourth Proportional to 3,096.96, 4,645.44 and 1,365.12

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Solution

The fourth proportional to 3,096.96, 4,645.44 and 1,365.12 is: 2,047.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.96 : 4,645.44 = 1,365.12 : x
  2. Step 2: Convert to fraction form
    3,096.96/4,645.44 = 1,365.12/x
  3. Step 3: Cross multiply
    3,096.96x = 4,645.44 × 1,365.12
  4. Step 4: Simplify right side
    3,096.96x = 6,341,583.05
  5. Step 5: Solve for x
    x = 6,341,583.05/3,096.96
  6. Step 6: Final answer
    x = 2,047.68

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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.