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Finding the Fourth Proportional to 3,484.14, 4,808.15 and 1,912.20

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Solution

The fourth proportional to 3,484.14, 4,808.15 and 1,912.20 is: 2,638.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484.14 : 4,808.15 = 1,912.20 : x
  2. Step 2: Convert to fraction form
    3,484.14/4,808.15 = 1,912.20/x
  3. Step 3: Cross multiply
    3,484.14x = 4,808.15 × 1,912.20
  4. Step 4: Simplify right side
    3,484.14x = 9,194,144.43
  5. Step 5: Solve for x
    x = 9,194,144.43/3,484.14
  6. Step 6: Final answer
    x = 2,638.86

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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.