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Finding the Fourth Proportional to 3,236.76, 4,466.97 and 1,820.61

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Solution

The fourth proportional to 3,236.76, 4,466.97 and 1,820.61 is: 2,512.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,236.76 : 4,466.97 = 1,820.61 : x
  2. Step 2: Convert to fraction form
    3,236.76/4,466.97 = 1,820.61/x
  3. Step 3: Cross multiply
    3,236.76x = 4,466.97 × 1,820.61
  4. Step 4: Simplify right side
    3,236.76x = 8,132,610.25
  5. Step 5: Solve for x
    x = 8,132,610.25/3,236.76
  6. Step 6: Final answer
    x = 2,512.58

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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.