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Finding the Fourth Proportional to 2,636.88, 3,955.34 and 905.50

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Solution

The fourth proportional to 2,636.88, 3,955.34 and 905.50 is: 1,358.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,636.88 : 3,955.34 = 905.50 : x
  2. Step 2: Convert to fraction form
    2,636.88/3,955.34 = 905.50/x
  3. Step 3: Cross multiply
    2,636.88x = 3,955.34 × 905.50
  4. Step 4: Simplify right side
    2,636.88x = 3,581,560.37
  5. Step 5: Solve for x
    x = 3,581,560.37/2,636.88
  6. Step 6: Final answer
    x = 1,358.26

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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.