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Finding the Fourth Proportional to 1,642.10, 2,463.29 and 516.29

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Solution

The fourth proportional to 1,642.10, 2,463.29 and 516.29 is: 774.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.10 : 2,463.29 = 516.29 : x
  2. Step 2: Convert to fraction form
    1,642.10/2,463.29 = 516.29/x
  3. Step 3: Cross multiply
    1,642.10x = 2,463.29 × 516.29
  4. Step 4: Simplify right side
    1,642.10x = 1,271,757.10
  5. Step 5: Solve for x
    x = 1,271,757.10/1,642.10
  6. Step 6: Final answer
    x = 774.47

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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.