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Finding the Fourth Proportional to 2,752.26, 4,122.55 and 2,164.47

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Solution

The fourth proportional to 2,752.26, 4,122.55 and 2,164.47 is: 3,242.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.26 : 4,122.55 = 2,164.47 : x
  2. Step 2: Convert to fraction form
    2,752.26/4,122.55 = 2,164.47/x
  3. Step 3: Cross multiply
    2,752.26x = 4,122.55 × 2,164.47
  4. Step 4: Simplify right side
    2,752.26x = 8,923,104.36
  5. Step 5: Solve for x
    x = 8,923,104.36/2,752.26
  6. Step 6: Final answer
    x = 3,242.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.