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Finding the Fourth Proportional to 3,320, 4,982.40 and 1,268

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Solution

The fourth proportional to 3,320, 4,982.40 and 1,268 is: 1,902.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,320 : 4,982.40 = 1,268 : x
  2. Step 2: Convert to fraction form
    3,320/4,982.40 = 1,268/x
  3. Step 3: Cross multiply
    3,320x = 4,982.40 × 1,268
  4. Step 4: Simplify right side
    3,320x = 6,317,683.20
  5. Step 5: Solve for x
    x = 6,317,683.20/3,320
  6. Step 6: Final answer
    x = 1,902.92

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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.