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Finding the Fourth Proportional to 1,902.98, 2,854.14 and 516.14

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Solution

The fourth proportional to 1,902.98, 2,854.14 and 516.14 is: 774.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.98 : 2,854.14 = 516.14 : x
  2. Step 2: Convert to fraction form
    1,902.98/2,854.14 = 516.14/x
  3. Step 3: Cross multiply
    1,902.98x = 2,854.14 × 516.14
  4. Step 4: Simplify right side
    1,902.98x = 1,473,121.55
  5. Step 5: Solve for x
    x = 1,473,121.55/1,902.98
  6. Step 6: Final answer
    x = 774.11

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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.