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Finding the Fourth Proportional to 1,934.80, 2,902.22 and 636.26

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Solution

The fourth proportional to 1,934.80, 2,902.22 and 636.26 is: 954.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,934.80 : 2,902.22 = 636.26 : x
  2. Step 2: Convert to fraction form
    1,934.80/2,902.22 = 636.26/x
  3. Step 3: Cross multiply
    1,934.80x = 2,902.22 × 636.26
  4. Step 4: Simplify right side
    1,934.80x = 1,846,566.50
  5. Step 5: Solve for x
    x = 1,846,566.50/1,934.80
  6. Step 6: Final answer
    x = 954.40

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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.