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Finding the Fourth Proportional to 2,105.88, 3,158.60 and 646.05

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Solution

The fourth proportional to 2,105.88, 3,158.60 and 646.05 is: 969.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.88 : 3,158.60 = 646.05 : x
  2. Step 2: Convert to fraction form
    2,105.88/3,158.60 = 646.05/x
  3. Step 3: Cross multiply
    2,105.88x = 3,158.60 × 646.05
  4. Step 4: Simplify right side
    2,105.88x = 2,040,610.30
  5. Step 5: Solve for x
    x = 2,040,610.30/2,105.88
  6. Step 6: Final answer
    x = 969.01

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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.