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Finding the Fourth Proportional to 2,100.30, 3,150.42 and 639.54

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Solution

The fourth proportional to 2,100.30, 3,150.42 and 639.54 is: 959.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.30 : 3,150.42 = 639.54 : x
  2. Step 2: Convert to fraction form
    2,100.30/3,150.42 = 639.54/x
  3. Step 3: Cross multiply
    2,100.30x = 3,150.42 × 639.54
  4. Step 4: Simplify right side
    2,100.30x = 2,014,819.61
  5. Step 5: Solve for x
    x = 2,014,819.61/2,100.30
  6. Step 6: Final answer
    x = 959.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.