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Finding the Fourth Proportional to 3,112.84, 4,295.46 and 1,786.26

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Solution

The fourth proportional to 3,112.84, 4,295.46 and 1,786.26 is: 2,464.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,112.84 : 4,295.46 = 1,786.26 : x
  2. Step 2: Convert to fraction form
    3,112.84/4,295.46 = 1,786.26/x
  3. Step 3: Cross multiply
    3,112.84x = 4,295.46 × 1,786.26
  4. Step 4: Simplify right side
    3,112.84x = 7,672,808.38
  5. Step 5: Solve for x
    x = 7,672,808.38/3,112.84
  6. Step 6: Final answer
    x = 2,464.89

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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.