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Finding the Fourth Proportional to 2,935.16, 4,402.80 and 960.79

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Solution

The fourth proportional to 2,935.16, 4,402.80 and 960.79 is: 1,441.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,935.16 : 4,402.80 = 960.79 : x
  2. Step 2: Convert to fraction form
    2,935.16/4,402.80 = 960.79/x
  3. Step 3: Cross multiply
    2,935.16x = 4,402.80 × 960.79
  4. Step 4: Simplify right side
    2,935.16x = 4,230,166.21
  5. Step 5: Solve for x
    x = 4,230,166.21/2,935.16
  6. Step 6: Final answer
    x = 1,441.20

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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.