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Finding the Fourth Proportional to 2,022.28, 3,030.86 and 982.52

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Solution

The fourth proportional to 2,022.28, 3,030.86 and 982.52 is: 1,472.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.28 : 3,030.86 = 982.52 : x
  2. Step 2: Convert to fraction form
    2,022.28/3,030.86 = 982.52/x
  3. Step 3: Cross multiply
    2,022.28x = 3,030.86 × 982.52
  4. Step 4: Simplify right side
    2,022.28x = 2,977,880.57
  5. Step 5: Solve for x
    x = 2,977,880.57/2,022.28
  6. Step 6: Final answer
    x = 1,472.54

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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.