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Finding the Fourth Proportional to 2,105.93, 3,158.29 and 645.20

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Solution

The fourth proportional to 2,105.93, 3,158.29 and 645.20 is: 967.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.93 : 3,158.29 = 645.20 : x
  2. Step 2: Convert to fraction form
    2,105.93/3,158.29 = 645.20/x
  3. Step 3: Cross multiply
    2,105.93x = 3,158.29 × 645.20
  4. Step 4: Simplify right side
    2,105.93x = 2,037,725.57
  5. Step 5: Solve for x
    x = 2,037,725.57/2,105.93
  6. Step 6: Final answer
    x = 967.61

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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.