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Finding the Fourth Proportional to 3,092.72, 4,638.16 and 900.75

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Solution

The fourth proportional to 3,092.72, 4,638.16 and 900.75 is: 1,350.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,092.72 : 4,638.16 = 900.75 : x
  2. Step 2: Convert to fraction form
    3,092.72/4,638.16 = 900.75/x
  3. Step 3: Cross multiply
    3,092.72x = 4,638.16 × 900.75
  4. Step 4: Simplify right side
    3,092.72x = 4,177,841.14
  5. Step 5: Solve for x
    x = 4,177,841.14/3,092.72
  6. Step 6: Final answer
    x = 1,350.87

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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.