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Finding the Fourth Proportional to 3,301.64, 4,944.78 and 2,000.76

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Solution

The fourth proportional to 3,301.64, 4,944.78 and 2,000.76 is: 2,996.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,301.64 : 4,944.78 = 2,000.76 : x
  2. Step 2: Convert to fraction form
    3,301.64/4,944.78 = 2,000.76/x
  3. Step 3: Cross multiply
    3,301.64x = 4,944.78 × 2,000.76
  4. Step 4: Simplify right side
    3,301.64x = 9,893,318.03
  5. Step 5: Solve for x
    x = 9,893,318.03/3,301.64
  6. Step 6: Final answer
    x = 2,996.49

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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.