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Finding the Fourth Proportional to 1,606.87, 2,410.31 and 1,062.46

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Solution

The fourth proportional to 1,606.87, 2,410.31 and 1,062.46 is: 1,593.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.87 : 2,410.31 = 1,062.46 : x
  2. Step 2: Convert to fraction form
    1,606.87/2,410.31 = 1,062.46/x
  3. Step 3: Cross multiply
    1,606.87x = 2,410.31 × 1,062.46
  4. Step 4: Simplify right side
    1,606.87x = 2,560,857.96
  5. Step 5: Solve for x
    x = 2,560,857.96/1,606.87
  6. Step 6: Final answer
    x = 1,593.69

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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.