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Finding the Fourth Proportional to 3,091.26, 4,636.92 and 900.24

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Solution

The fourth proportional to 3,091.26, 4,636.92 and 900.24 is: 1,350.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,091.26 : 4,636.92 = 900.24 : x
  2. Step 2: Convert to fraction form
    3,091.26/4,636.92 = 900.24/x
  3. Step 3: Cross multiply
    3,091.26x = 4,636.92 × 900.24
  4. Step 4: Simplify right side
    3,091.26x = 4,174,340.86
  5. Step 5: Solve for x
    x = 4,174,340.86/3,091.26
  6. Step 6: Final answer
    x = 1,350.37

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1.5x scale

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.