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Finding the Fourth Proportional to 1,740.15, 2,611.17 and 960.48

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Solution

The fourth proportional to 1,740.15, 2,611.17 and 960.48 is: 1,441.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740.15 : 2,611.17 = 960.48 : x
  2. Step 2: Convert to fraction form
    1,740.15/2,611.17 = 960.48/x
  3. Step 3: Cross multiply
    1,740.15x = 2,611.17 × 960.48
  4. Step 4: Simplify right side
    1,740.15x = 2,507,976.56
  5. Step 5: Solve for x
    x = 2,507,976.56/1,740.15
  6. Step 6: Final answer
    x = 1,441.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.