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Finding the Fourth Proportional to 2,000.42, 3,000.83 and 613.74

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Solution

The fourth proportional to 2,000.42, 3,000.83 and 613.74 is: 920.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.42 : 3,000.83 = 613.74 : x
  2. Step 2: Convert to fraction form
    2,000.42/3,000.83 = 613.74/x
  3. Step 3: Cross multiply
    2,000.42x = 3,000.83 × 613.74
  4. Step 4: Simplify right side
    2,000.42x = 1,841,729.40
  5. Step 5: Solve for x
    x = 1,841,729.40/2,000.42
  6. Step 6: Final answer
    x = 920.67

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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.