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Finding the Fourth Proportional to 2,636.40, 3,954.64 and 905.04

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Solution

The fourth proportional to 2,636.40, 3,954.64 and 905.04 is: 1,357.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,636.40 : 3,954.64 = 905.04 : x
  2. Step 2: Convert to fraction form
    2,636.40/3,954.64 = 905.04/x
  3. Step 3: Cross multiply
    2,636.40x = 3,954.64 × 905.04
  4. Step 4: Simplify right side
    2,636.40x = 3,579,107.39
  5. Step 5: Solve for x
    x = 3,579,107.39/2,636.40
  6. Step 6: Final answer
    x = 1,357.57

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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.