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Finding the Fourth Proportional to 2,138.64, 3,204.72 and 983.04

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Solution

The fourth proportional to 2,138.64, 3,204.72 and 983.04 is: 1,473.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.64 : 3,204.72 = 983.04 : x
  2. Step 2: Convert to fraction form
    2,138.64/3,204.72 = 983.04/x
  3. Step 3: Cross multiply
    2,138.64x = 3,204.72 × 983.04
  4. Step 4: Simplify right side
    2,138.64x = 3,150,367.95
  5. Step 5: Solve for x
    x = 3,150,367.95/2,138.64
  6. Step 6: Final answer
    x = 1,473.07

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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.