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Finding the Fourth Proportional to 1,611.92, 2,417.88 and 516.38

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Solution

The fourth proportional to 1,611.92, 2,417.88 and 516.38 is: 774.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.92 : 2,417.88 = 516.38 : x
  2. Step 2: Convert to fraction form
    1,611.92/2,417.88 = 516.38/x
  3. Step 3: Cross multiply
    1,611.92x = 2,417.88 × 516.38
  4. Step 4: Simplify right side
    1,611.92x = 1,248,532.79
  5. Step 5: Solve for x
    x = 1,248,532.79/1,611.92
  6. Step 6: Final answer
    x = 774.56

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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.