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Finding the Fourth Proportional to 2,960.10, 4,440.36 and 985.64

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Solution

The fourth proportional to 2,960.10, 4,440.36 and 985.64 is: 1,478.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,960.10 : 4,440.36 = 985.64 : x
  2. Step 2: Convert to fraction form
    2,960.10/4,440.36 = 985.64/x
  3. Step 3: Cross multiply
    2,960.10x = 4,440.36 × 985.64
  4. Step 4: Simplify right side
    2,960.10x = 4,376,596.43
  5. Step 5: Solve for x
    x = 4,376,596.43/2,960.10
  6. Step 6: Final answer
    x = 1,478.53

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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.