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Finding the Fourth Proportional to 3,322.12, 4,984 and 982.12

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Solution

The fourth proportional to 3,322.12, 4,984 and 982.12 is: 1,473.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,322.12 : 4,984 = 982.12 : x
  2. Step 2: Convert to fraction form
    3,322.12/4,984 = 982.12/x
  3. Step 3: Cross multiply
    3,322.12x = 4,984 × 982.12
  4. Step 4: Simplify right side
    3,322.12x = 4,894,886.08
  5. Step 5: Solve for x
    x = 4,894,886.08/3,322.12
  6. Step 6: Final answer
    x = 1,473.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.