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Finding the Fourth Proportional to 2,105.38, 3,157.85 and 645.55

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Solution

The fourth proportional to 2,105.38, 3,157.85 and 645.55 is: 968.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.38 : 3,157.85 = 645.55 : x
  2. Step 2: Convert to fraction form
    2,105.38/3,157.85 = 645.55/x
  3. Step 3: Cross multiply
    2,105.38x = 3,157.85 × 645.55
  4. Step 4: Simplify right side
    2,105.38x = 2,038,546.84
  5. Step 5: Solve for x
    x = 2,038,546.84/2,105.38
  6. Step 6: Final answer
    x = 968.26

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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.