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Finding the Fourth Proportional to 1,671, 2,506.91 and 516.75

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Solution

The fourth proportional to 1,671, 2,506.91 and 516.75 is: 775.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671 : 2,506.91 = 516.75 : x
  2. Step 2: Convert to fraction form
    1,671/2,506.91 = 516.75/x
  3. Step 3: Cross multiply
    1,671x = 2,506.91 × 516.75
  4. Step 4: Simplify right side
    1,671x = 1,295,443.16
  5. Step 5: Solve for x
    x = 1,295,443.16/1,671
  6. Step 6: Final answer
    x = 775.25

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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.