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Finding the Fourth Proportional to 1,977.36, 2,965.78 and 516.62

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Solution

The fourth proportional to 1,977.36, 2,965.78 and 516.62 is: 774.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.36 : 2,965.78 = 516.62 : x
  2. Step 2: Convert to fraction form
    1,977.36/2,965.78 = 516.62/x
  3. Step 3: Cross multiply
    1,977.36x = 2,965.78 × 516.62
  4. Step 4: Simplify right side
    1,977.36x = 1,532,181.26
  5. Step 5: Solve for x
    x = 1,532,181.26/1,977.36
  6. Step 6: Final answer
    x = 774.86

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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.