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Finding the Fourth Proportional to 2,078.05, 3,119.60 and 968.53

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Solution

The fourth proportional to 2,078.05, 3,119.60 and 968.53 is: 1,453.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.05 : 3,119.60 = 968.53 : x
  2. Step 2: Convert to fraction form
    2,078.05/3,119.60 = 968.53/x
  3. Step 3: Cross multiply
    2,078.05x = 3,119.60 × 968.53
  4. Step 4: Simplify right side
    2,078.05x = 3,021,420.81
  5. Step 5: Solve for x
    x = 3,021,420.81/2,078.05
  6. Step 6: Final answer
    x = 1,453.97

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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.