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Finding the Fourth Proportional to 1,960.57, 2,705.49 and 1,175.05

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Solution

The fourth proportional to 1,960.57, 2,705.49 and 1,175.05 is: 1,621.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960.57 : 2,705.49 = 1,175.05 : x
  2. Step 2: Convert to fraction form
    1,960.57/2,705.49 = 1,175.05/x
  3. Step 3: Cross multiply
    1,960.57x = 2,705.49 × 1,175.05
  4. Step 4: Simplify right side
    1,960.57x = 3,179,086.02
  5. Step 5: Solve for x
    x = 3,179,086.02/1,960.57
  6. Step 6: Final answer
    x = 1,621.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.