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Finding the Fourth Proportional to 2,105.80, 3,158.81 and 935.53

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Solution

The fourth proportional to 2,105.80, 3,158.81 and 935.53 is: 1,403.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.80 : 3,158.81 = 935.53 : x
  2. Step 2: Convert to fraction form
    2,105.80/3,158.81 = 935.53/x
  3. Step 3: Cross multiply
    2,105.80x = 3,158.81 × 935.53
  4. Step 4: Simplify right side
    2,105.80x = 2,955,161.52
  5. Step 5: Solve for x
    x = 2,955,161.52/2,105.80
  6. Step 6: Final answer
    x = 1,403.34

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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.