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Finding the Fourth Proportional to 2,305.39, 3,459.09 and 844.76

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Solution

The fourth proportional to 2,305.39, 3,459.09 and 844.76 is: 1,267.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.39 : 3,459.09 = 844.76 : x
  2. Step 2: Convert to fraction form
    2,305.39/3,459.09 = 844.76/x
  3. Step 3: Cross multiply
    2,305.39x = 3,459.09 × 844.76
  4. Step 4: Simplify right side
    2,305.39x = 2,922,100.87
  5. Step 5: Solve for x
    x = 2,922,100.87/2,305.39
  6. Step 6: Final answer
    x = 1,267.51

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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.