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Finding the Fourth Proportional to 2,602.75, 3,905.76 and 960.07

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Solution

The fourth proportional to 2,602.75, 3,905.76 and 960.07 is: 1,440.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.75 : 3,905.76 = 960.07 : x
  2. Step 2: Convert to fraction form
    2,602.75/3,905.76 = 960.07/x
  3. Step 3: Cross multiply
    2,602.75x = 3,905.76 × 960.07
  4. Step 4: Simplify right side
    2,602.75x = 3,749,803.00
  5. Step 5: Solve for x
    x = 3,749,803.00/2,602.75
  6. Step 6: Final answer
    x = 1,440.71

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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.