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Finding the Fourth Proportional to 2,960.76, 4,441.57 and 985.72

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Solution

The fourth proportional to 2,960.76, 4,441.57 and 985.72 is: 1,478.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,960.76 : 4,441.57 = 985.72 : x
  2. Step 2: Convert to fraction form
    2,960.76/4,441.57 = 985.72/x
  3. Step 3: Cross multiply
    2,960.76x = 4,441.57 × 985.72
  4. Step 4: Simplify right side
    2,960.76x = 4,378,144.38
  5. Step 5: Solve for x
    x = 4,378,144.38/2,960.76
  6. Step 6: Final answer
    x = 1,478.72

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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.