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Finding the Fourth Proportional to 2,442, 3,663.16 and 982.12

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Solution

The fourth proportional to 2,442, 3,663.16 and 982.12 is: 1,473.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442 : 3,663.16 = 982.12 : x
  2. Step 2: Convert to fraction form
    2,442/3,663.16 = 982.12/x
  3. Step 3: Cross multiply
    2,442x = 3,663.16 × 982.12
  4. Step 4: Simplify right side
    2,442x = 3,597,662.70
  5. Step 5: Solve for x
    x = 3,597,662.70/2,442
  6. Step 6: Final answer
    x = 1,473.24

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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.