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Finding the Fourth Proportional to 3,236.96, 4,466.87 and 1,820.63

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Solution

The fourth proportional to 3,236.96, 4,466.87 and 1,820.63 is: 2,512.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,236.96 : 4,466.87 = 1,820.63 : x
  2. Step 2: Convert to fraction form
    3,236.96/4,466.87 = 1,820.63/x
  3. Step 3: Cross multiply
    3,236.96x = 4,466.87 × 1,820.63
  4. Step 4: Simplify right side
    3,236.96x = 8,132,492.92
  5. Step 5: Solve for x
    x = 8,132,492.92/3,236.96
  6. Step 6: Final answer
    x = 2,512.38

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Why These Related Problems?

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