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Finding the Fourth Proportional to 2,006.28, 2,768.04 and 1,220.04

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Solution

The fourth proportional to 2,006.28, 2,768.04 and 1,220.04 is: 1,683.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.28 : 2,768.04 = 1,220.04 : x
  2. Step 2: Convert to fraction form
    2,006.28/2,768.04 = 1,220.04/x
  3. Step 3: Cross multiply
    2,006.28x = 2,768.04 × 1,220.04
  4. Step 4: Simplify right side
    2,006.28x = 3,377,119.52
  5. Step 5: Solve for x
    x = 3,377,119.52/2,006.28
  6. Step 6: Final answer
    x = 1,683.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.