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Finding the Fourth Proportional to 2,852.92, 3,936.90 and 1,675

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Solution

The fourth proportional to 2,852.92, 3,936.90 and 1,675 is: 2,311.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,852.92 : 3,936.90 = 1,675 : x
  2. Step 2: Convert to fraction form
    2,852.92/3,936.90 = 1,675/x
  3. Step 3: Cross multiply
    2,852.92x = 3,936.90 × 1,675
  4. Step 4: Simplify right side
    2,852.92x = 6,594,307.50
  5. Step 5: Solve for x
    x = 6,594,307.50/2,852.92
  6. Step 6: Final answer
    x = 2,311.42

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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.