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Finding the Fourth Proportional to 1,977.42, 2,966.15 and 516.59

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Solution

The fourth proportional to 1,977.42, 2,966.15 and 516.59 is: 774.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.42 : 2,966.15 = 516.59 : x
  2. Step 2: Convert to fraction form
    1,977.42/2,966.15 = 516.59/x
  3. Step 3: Cross multiply
    1,977.42x = 2,966.15 × 516.59
  4. Step 4: Simplify right side
    1,977.42x = 1,532,283.43
  5. Step 5: Solve for x
    x = 1,532,283.43/1,977.42
  6. Step 6: Final answer
    x = 774.89

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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.