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Finding the Fourth Proportional to 2,276.75, 3,415.95 and 960.83

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Solution

The fourth proportional to 2,276.75, 3,415.95 and 960.83 is: 1,441.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.75 : 3,415.95 = 960.83 : x
  2. Step 2: Convert to fraction form
    2,276.75/3,415.95 = 960.83/x
  3. Step 3: Cross multiply
    2,276.75x = 3,415.95 × 960.83
  4. Step 4: Simplify right side
    2,276.75x = 3,282,130.16
  5. Step 5: Solve for x
    x = 3,282,130.16/2,276.75
  6. Step 6: Final answer
    x = 1,441.59

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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.