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Finding the Fourth Proportional to 1,988.92, 2,982.88 and 819.25

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Solution

The fourth proportional to 1,988.92, 2,982.88 and 819.25 is: 1,228.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,988.92 : 2,982.88 = 819.25 : x
  2. Step 2: Convert to fraction form
    1,988.92/2,982.88 = 819.25/x
  3. Step 3: Cross multiply
    1,988.92x = 2,982.88 × 819.25
  4. Step 4: Simplify right side
    1,988.92x = 2,443,724.44
  5. Step 5: Solve for x
    x = 2,443,724.44/1,988.92
  6. Step 6: Final answer
    x = 1,228.67

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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.