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Finding the Fourth Proportional to 2,752.38, 3,798.09 and 2,164.32

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Solution

The fourth proportional to 2,752.38, 3,798.09 and 2,164.32 is: 2,986.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.38 : 3,798.09 = 2,164.32 : x
  2. Step 2: Convert to fraction form
    2,752.38/3,798.09 = 2,164.32/x
  3. Step 3: Cross multiply
    2,752.38x = 3,798.09 × 2,164.32
  4. Step 4: Simplify right side
    2,752.38x = 8,220,282.15
  5. Step 5: Solve for x
    x = 8,220,282.15/2,752.38
  6. Step 6: Final answer
    x = 2,986.61

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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.