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Finding the Fourth Proportional to 2,002.05, 3,003.05 and 905.64

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Solution

The fourth proportional to 2,002.05, 3,003.05 and 905.64 is: 1,358.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.05 : 3,003.05 = 905.64 : x
  2. Step 2: Convert to fraction form
    2,002.05/3,003.05 = 905.64/x
  3. Step 3: Cross multiply
    2,002.05x = 3,003.05 × 905.64
  4. Step 4: Simplify right side
    2,002.05x = 2,719,677.67
  5. Step 5: Solve for x
    x = 2,719,677.67/2,002.05
  6. Step 6: Final answer
    x = 1,358.45

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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.