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Finding the Fourth Proportional to 1,670.82, 2,506.62 and 516.57

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Solution

The fourth proportional to 1,670.82, 2,506.62 and 516.57 is: 774.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.82 : 2,506.62 = 516.57 : x
  2. Step 2: Convert to fraction form
    1,670.82/2,506.62 = 516.57/x
  3. Step 3: Cross multiply
    1,670.82x = 2,506.62 × 516.57
  4. Step 4: Simplify right side
    1,670.82x = 1,294,844.69
  5. Step 5: Solve for x
    x = 1,294,844.69/1,670.82
  6. Step 6: Final answer
    x = 774.98

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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.