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Finding the Fourth Proportional to 2,172.57, 3,258.94 and 633.57

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Solution

The fourth proportional to 2,172.57, 3,258.94 and 633.57 is: 950.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.57 : 3,258.94 = 633.57 : x
  2. Step 2: Convert to fraction form
    2,172.57/3,258.94 = 633.57/x
  3. Step 3: Cross multiply
    2,172.57x = 3,258.94 × 633.57
  4. Step 4: Simplify right side
    2,172.57x = 2,064,766.62
  5. Step 5: Solve for x
    x = 2,064,766.62/2,172.57
  6. Step 6: Final answer
    x = 950.38

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Why These Related Problems?

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