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Finding the Fourth Proportional to 1,902.68, 2,854.20 and 516.03

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Solution

The fourth proportional to 1,902.68, 2,854.20 and 516.03 is: 774.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.68 : 2,854.20 = 516.03 : x
  2. Step 2: Convert to fraction form
    1,902.68/2,854.20 = 516.03/x
  3. Step 3: Cross multiply
    1,902.68x = 2,854.20 × 516.03
  4. Step 4: Simplify right side
    1,902.68x = 1,472,852.83
  5. Step 5: Solve for x
    x = 1,472,852.83/1,902.68
  6. Step 6: Final answer
    x = 774.10

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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.