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Finding the Fourth Proportional to 2,105.54, 3,158.70 and 873.05

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Solution

The fourth proportional to 2,105.54, 3,158.70 and 873.05 is: 1,309.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.54 : 3,158.70 = 873.05 : x
  2. Step 2: Convert to fraction form
    2,105.54/3,158.70 = 873.05/x
  3. Step 3: Cross multiply
    2,105.54x = 3,158.70 × 873.05
  4. Step 4: Simplify right side
    2,105.54x = 2,757,710.62
  5. Step 5: Solve for x
    x = 2,757,710.62/2,105.54
  6. Step 6: Final answer
    x = 1,309.74

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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.