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Finding the Fourth Proportional to 1,977.35, 2,966.02 and 516.38

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Solution

The fourth proportional to 1,977.35, 2,966.02 and 516.38 is: 774.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.35 : 2,966.02 = 516.38 : x
  2. Step 2: Convert to fraction form
    1,977.35/2,966.02 = 516.38/x
  3. Step 3: Cross multiply
    1,977.35x = 2,966.02 × 516.38
  4. Step 4: Simplify right side
    1,977.35x = 1,531,577.29
  5. Step 5: Solve for x
    x = 1,531,577.29/1,977.35
  6. Step 6: Final answer
    x = 774.56

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