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Finding the Fourth Proportional to 3,026.71, 4,175.38 and 1,845.73

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Solution

The fourth proportional to 3,026.71, 4,175.38 and 1,845.73 is: 2,546.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,026.71 : 4,175.38 = 1,845.73 : x
  2. Step 2: Convert to fraction form
    3,026.71/4,175.38 = 1,845.73/x
  3. Step 3: Cross multiply
    3,026.71x = 4,175.38 × 1,845.73
  4. Step 4: Simplify right side
    3,026.71x = 7,706,624.13
  5. Step 5: Solve for x
    x = 7,706,624.13/3,026.71
  6. Step 6: Final answer
    x = 2,546.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.