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Finding the Fourth Proportional to 3,361.50, 4,638.87 and 1,964.52

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Solution

The fourth proportional to 3,361.50, 4,638.87 and 1,964.52 is: 2,711.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,361.50 : 4,638.87 = 1,964.52 : x
  2. Step 2: Convert to fraction form
    3,361.50/4,638.87 = 1,964.52/x
  3. Step 3: Cross multiply
    3,361.50x = 4,638.87 × 1,964.52
  4. Step 4: Simplify right side
    3,361.50x = 9,113,152.89
  5. Step 5: Solve for x
    x = 9,113,152.89/3,361.50
  6. Step 6: Final answer
    x = 2,711.04

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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.