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Finding the Fourth Proportional to 2,454.59, 3,682.57 and 812.29

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Solution

The fourth proportional to 2,454.59, 3,682.57 and 812.29 is: 1,218.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.59 : 3,682.57 = 812.29 : x
  2. Step 2: Convert to fraction form
    2,454.59/3,682.57 = 812.29/x
  3. Step 3: Cross multiply
    2,454.59x = 3,682.57 × 812.29
  4. Step 4: Simplify right side
    2,454.59x = 2,991,325.01
  5. Step 5: Solve for x
    x = 2,991,325.01/2,454.59
  6. Step 6: Final answer
    x = 1,218.67

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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.