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Finding the Fourth Proportional to 2,361.46, 3,540.12 and 899.64

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Solution

The fourth proportional to 2,361.46, 3,540.12 and 899.64 is: 1,348.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.46 : 3,540.12 = 899.64 : x
  2. Step 2: Convert to fraction form
    2,361.46/3,540.12 = 899.64/x
  3. Step 3: Cross multiply
    2,361.46x = 3,540.12 × 899.64
  4. Step 4: Simplify right side
    2,361.46x = 3,184,833.56
  5. Step 5: Solve for x
    x = 3,184,833.56/2,361.46
  6. Step 6: Final answer
    x = 1,348.67

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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.