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Finding the Fourth Proportional to 2,636.62, 3,955.29 and 905.02

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Solution

The fourth proportional to 2,636.62, 3,955.29 and 905.02 is: 1,357.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,636.62 : 3,955.29 = 905.02 : x
  2. Step 2: Convert to fraction form
    2,636.62/3,955.29 = 905.02/x
  3. Step 3: Cross multiply
    2,636.62x = 3,955.29 × 905.02
  4. Step 4: Simplify right side
    2,636.62x = 3,579,616.56
  5. Step 5: Solve for x
    x = 3,579,616.56/2,636.62
  6. Step 6: Final answer
    x = 1,357.65

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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.