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Finding the Fourth Proportional to 2,000.46, 2,999.76 and 613.44

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Solution

The fourth proportional to 2,000.46, 2,999.76 and 613.44 is: 919.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.46 : 2,999.76 = 613.44 : x
  2. Step 2: Convert to fraction form
    2,000.46/2,999.76 = 613.44/x
  3. Step 3: Cross multiply
    2,000.46x = 2,999.76 × 613.44
  4. Step 4: Simplify right side
    2,000.46x = 1,840,172.77
  5. Step 5: Solve for x
    x = 1,840,172.77/2,000.46
  6. Step 6: Final answer
    x = 919.87

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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.