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Finding the Fourth Proportional to 2,935.08, 4,402.76 and 960.83

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Solution

The fourth proportional to 2,935.08, 4,402.76 and 960.83 is: 1,441.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,935.08 : 4,402.76 = 960.83 : x
  2. Step 2: Convert to fraction form
    2,935.08/4,402.76 = 960.83/x
  3. Step 3: Cross multiply
    2,935.08x = 4,402.76 × 960.83
  4. Step 4: Simplify right side
    2,935.08x = 4,230,277.07
  5. Step 5: Solve for x
    x = 4,230,277.07/2,935.08
  6. Step 6: Final answer
    x = 1,441.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.