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Finding the Fourth Proportional to 3,982.32, 5,973.12 and 1,900.80

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Solution

The fourth proportional to 3,982.32, 5,973.12 and 1,900.80 is: 2,851.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.32 : 5,973.12 = 1,900.80 : x
  2. Step 2: Convert to fraction form
    3,982.32/5,973.12 = 1,900.80/x
  3. Step 3: Cross multiply
    3,982.32x = 5,973.12 × 1,900.80
  4. Step 4: Simplify right side
    3,982.32x = 11,353,706.50
  5. Step 5: Solve for x
    x = 11,353,706.50/3,982.32
  6. Step 6: Final answer
    x = 2,851.03

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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.