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Finding the Fourth Proportional to 2,166.84, 3,250.20 and 627.84

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Solution

The fourth proportional to 2,166.84, 3,250.20 and 627.84 is: 941.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.84 : 3,250.20 = 627.84 : x
  2. Step 2: Convert to fraction form
    2,166.84/3,250.20 = 627.84/x
  3. Step 3: Cross multiply
    2,166.84x = 3,250.20 × 627.84
  4. Step 4: Simplify right side
    2,166.84x = 2,040,605.57
  5. Step 5: Solve for x
    x = 2,040,605.57/2,166.84
  6. Step 6: Final answer
    x = 941.74

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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.