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Finding the Fourth Proportional to 3,362.68, 5,043.46 and 1,608.76

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Solution

The fourth proportional to 3,362.68, 5,043.46 and 1,608.76 is: 2,412.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,362.68 : 5,043.46 = 1,608.76 : x
  2. Step 2: Convert to fraction form
    3,362.68/5,043.46 = 1,608.76/x
  3. Step 3: Cross multiply
    3,362.68x = 5,043.46 × 1,608.76
  4. Step 4: Simplify right side
    3,362.68x = 8,113,716.71
  5. Step 5: Solve for x
    x = 8,113,716.71/3,362.68
  6. Step 6: Final answer
    x = 2,412.87

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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.