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Finding the Fourth Proportional to 3,074.98, 4,611.98 and 883.21

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Solution

The fourth proportional to 3,074.98, 4,611.98 and 883.21 is: 1,324.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.98 : 4,611.98 = 883.21 : x
  2. Step 2: Convert to fraction form
    3,074.98/4,611.98 = 883.21/x
  3. Step 3: Cross multiply
    3,074.98x = 4,611.98 × 883.21
  4. Step 4: Simplify right side
    3,074.98x = 4,073,349.86
  5. Step 5: Solve for x
    x = 4,073,349.86/3,074.98
  6. Step 6: Final answer
    x = 1,324.67

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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.