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Finding the Fourth Proportional to 3,207.42, 4,816.62 and 1,982.10

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Solution

The fourth proportional to 3,207.42, 4,816.62 and 1,982.10 is: 2,976.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207.42 : 4,816.62 = 1,982.10 : x
  2. Step 2: Convert to fraction form
    3,207.42/4,816.62 = 1,982.10/x
  3. Step 3: Cross multiply
    3,207.42x = 4,816.62 × 1,982.10
  4. Step 4: Simplify right side
    3,207.42x = 9,547,022.50
  5. Step 5: Solve for x
    x = 9,547,022.50/3,207.42
  6. Step 6: Final answer
    x = 2,976.54

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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.