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Finding the Fourth Proportional to 1,977.82, 2,966.93 and 516.98

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Solution

The fourth proportional to 1,977.82, 2,966.93 and 516.98 is: 775.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.82 : 2,966.93 = 516.98 : x
  2. Step 2: Convert to fraction form
    1,977.82/2,966.93 = 516.98/x
  3. Step 3: Cross multiply
    1,977.82x = 2,966.93 × 516.98
  4. Step 4: Simplify right side
    1,977.82x = 1,533,850.24
  5. Step 5: Solve for x
    x = 1,533,850.24/1,977.82
  6. Step 6: Final answer
    x = 775.53

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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.