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Finding the Fourth Proportional to 1,740.15, 2,607.78 and 960.52

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Solution

The fourth proportional to 1,740.15, 2,607.78 and 960.52 is: 1,439.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740.15 : 2,607.78 = 960.52 : x
  2. Step 2: Convert to fraction form
    1,740.15/2,607.78 = 960.52/x
  3. Step 3: Cross multiply
    1,740.15x = 2,607.78 × 960.52
  4. Step 4: Simplify right side
    1,740.15x = 2,504,818.33
  5. Step 5: Solve for x
    x = 2,504,818.33/1,740.15
  6. Step 6: Final answer
    x = 1,439.43

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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.