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Finding the Fourth Proportional to 2,353.87, 3,529.98 and 966.81

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Solution

The fourth proportional to 2,353.87, 3,529.98 and 966.81 is: 1,449.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.87 : 3,529.98 = 966.81 : x
  2. Step 2: Convert to fraction form
    2,353.87/3,529.98 = 966.81/x
  3. Step 3: Cross multiply
    2,353.87x = 3,529.98 × 966.81
  4. Step 4: Simplify right side
    2,353.87x = 3,412,819.96
  5. Step 5: Solve for x
    x = 3,412,819.96/2,353.87
  6. Step 6: Final answer
    x = 1,449.88

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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.