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Finding the Fourth Proportional to 2,114.19, 3,170.67 and 633.35

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Solution

The fourth proportional to 2,114.19, 3,170.67 and 633.35 is: 949.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.19 : 3,170.67 = 633.35 : x
  2. Step 2: Convert to fraction form
    2,114.19/3,170.67 = 633.35/x
  3. Step 3: Cross multiply
    2,114.19x = 3,170.67 × 633.35
  4. Step 4: Simplify right side
    2,114.19x = 2,008,143.84
  5. Step 5: Solve for x
    x = 2,008,143.84/2,114.19
  6. Step 6: Final answer
    x = 949.84

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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.