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Finding the Fourth Proportional to 1,977.71, 2,966.55 and 516.84

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Solution

The fourth proportional to 1,977.71, 2,966.55 and 516.84 is: 775.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.71 : 2,966.55 = 516.84 : x
  2. Step 2: Convert to fraction form
    1,977.71/2,966.55 = 516.84/x
  3. Step 3: Cross multiply
    1,977.71x = 2,966.55 × 516.84
  4. Step 4: Simplify right side
    1,977.71x = 1,533,231.70
  5. Step 5: Solve for x
    x = 1,533,231.70/1,977.71
  6. Step 6: Final answer
    x = 775.26

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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.