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Finding the Fourth Proportional to 2,722.26, 3,752.64 and 1,672.50

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Solution

The fourth proportional to 2,722.26, 3,752.64 and 1,672.50 is: 2,305.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.26 : 3,752.64 = 1,672.50 : x
  2. Step 2: Convert to fraction form
    2,722.26/3,752.64 = 1,672.50/x
  3. Step 3: Cross multiply
    2,722.26x = 3,752.64 × 1,672.50
  4. Step 4: Simplify right side
    2,722.26x = 6,276,290.40
  5. Step 5: Solve for x
    x = 6,276,290.40/2,722.26
  6. Step 6: Final answer
    x = 2,305.54

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