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Finding the Fourth Proportional to 2,002.20, 3,002.54 and 906.45

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Solution

The fourth proportional to 2,002.20, 3,002.54 and 906.45 is: 1,359.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.20 : 3,002.54 = 906.45 : x
  2. Step 2: Convert to fraction form
    2,002.20/3,002.54 = 906.45/x
  3. Step 3: Cross multiply
    2,002.20x = 3,002.54 × 906.45
  4. Step 4: Simplify right side
    2,002.20x = 2,721,647.85
  5. Step 5: Solve for x
    x = 2,721,647.85/2,002.20
  6. Step 6: Final answer
    x = 1,359.33

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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.