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Finding the Fourth Proportional to 2,037.43, 3,056.46 and 805.06

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Solution

The fourth proportional to 2,037.43, 3,056.46 and 805.06 is: 1,207.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.43 : 3,056.46 = 805.06 : x
  2. Step 2: Convert to fraction form
    2,037.43/3,056.46 = 805.06/x
  3. Step 3: Cross multiply
    2,037.43x = 3,056.46 × 805.06
  4. Step 4: Simplify right side
    2,037.43x = 2,460,633.69
  5. Step 5: Solve for x
    x = 2,460,633.69/2,037.43
  6. Step 6: Final answer
    x = 1,207.71

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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.