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Finding the Fourth Proportional to 2,454.57, 3,682.32 and 812.28

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Solution

The fourth proportional to 2,454.57, 3,682.32 and 812.28 is: 1,218.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.57 : 3,682.32 = 812.28 : x
  2. Step 2: Convert to fraction form
    2,454.57/3,682.32 = 812.28/x
  3. Step 3: Cross multiply
    2,454.57x = 3,682.32 × 812.28
  4. Step 4: Simplify right side
    2,454.57x = 2,991,074.89
  5. Step 5: Solve for x
    x = 2,991,074.89/2,454.57
  6. Step 6: Final answer
    x = 1,218.57

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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.