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Finding the Fourth Proportional to 2,078.64, 3,116.16 and 982.44

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Solution

The fourth proportional to 2,078.64, 3,116.16 and 982.44 is: 1,472.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.64 : 3,116.16 = 982.44 : x
  2. Step 2: Convert to fraction form
    2,078.64/3,116.16 = 982.44/x
  3. Step 3: Cross multiply
    2,078.64x = 3,116.16 × 982.44
  4. Step 4: Simplify right side
    2,078.64x = 3,061,440.23
  5. Step 5: Solve for x
    x = 3,061,440.23/2,078.64
  6. Step 6: Final answer
    x = 1,472.81

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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.