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Finding the Fourth Proportional to 2,100.30, 3,150.58 and 639.46

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Solution

The fourth proportional to 2,100.30, 3,150.58 and 639.46 is: 959.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.30 : 3,150.58 = 639.46 : x
  2. Step 2: Convert to fraction form
    2,100.30/3,150.58 = 639.46/x
  3. Step 3: Cross multiply
    2,100.30x = 3,150.58 × 639.46
  4. Step 4: Simplify right side
    2,100.30x = 2,014,669.89
  5. Step 5: Solve for x
    x = 2,014,669.89/2,100.30
  6. Step 6: Final answer
    x = 959.23

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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.