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Finding the Fourth Proportional to 3,236.46, 4,466.14 and 1,820.17

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Solution

The fourth proportional to 3,236.46, 4,466.14 and 1,820.17 is: 2,511.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,236.46 : 4,466.14 = 1,820.17 : x
  2. Step 2: Convert to fraction form
    3,236.46/4,466.14 = 1,820.17/x
  3. Step 3: Cross multiply
    3,236.46x = 4,466.14 × 1,820.17
  4. Step 4: Simplify right side
    3,236.46x = 8,129,135.08
  5. Step 5: Solve for x
    x = 8,129,135.08/3,236.46
  6. Step 6: Final answer
    x = 2,511.74

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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.