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Finding the Fourth Proportional to 2,305.05, 3,457.47 and 1,609.71

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Solution

The fourth proportional to 2,305.05, 3,457.47 and 1,609.71 is: 2,414.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.05 : 3,457.47 = 1,609.71 : x
  2. Step 2: Convert to fraction form
    2,305.05/3,457.47 = 1,609.71/x
  3. Step 3: Cross multiply
    2,305.05x = 3,457.47 × 1,609.71
  4. Step 4: Simplify right side
    2,305.05x = 5,565,524.03
  5. Step 5: Solve for x
    x = 5,565,524.03/2,305.05
  6. Step 6: Final answer
    x = 2,414.49

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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.