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Finding the Fourth Proportional to 1,610.55, 2,415.78 and 960.75

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Solution

The fourth proportional to 1,610.55, 2,415.78 and 960.75 is: 1,441.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.55 : 2,415.78 = 960.75 : x
  2. Step 2: Convert to fraction form
    1,610.55/2,415.78 = 960.75/x
  3. Step 3: Cross multiply
    1,610.55x = 2,415.78 × 960.75
  4. Step 4: Simplify right side
    1,610.55x = 2,320,960.64
  5. Step 5: Solve for x
    x = 2,320,960.64/1,610.55
  6. Step 6: Final answer
    x = 1,441.10

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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.