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Finding the Fourth Proportional to 3,182.41, 4,768.48 and 1,722.25

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Solution

The fourth proportional to 3,182.41, 4,768.48 and 1,722.25 is: 2,580.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.41 : 4,768.48 = 1,722.25 : x
  2. Step 2: Convert to fraction form
    3,182.41/4,768.48 = 1,722.25/x
  3. Step 3: Cross multiply
    3,182.41x = 4,768.48 × 1,722.25
  4. Step 4: Simplify right side
    3,182.41x = 8,212,514.68
  5. Step 5: Solve for x
    x = 8,212,514.68/3,182.41
  6. Step 6: Final answer
    x = 2,580.60

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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.