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Finding the Fourth Proportional to 2,960.70, 4,447.65 and 2,474.70

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Solution

The fourth proportional to 2,960.70, 4,447.65 and 2,474.70 is: 3,717.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,960.70 : 4,447.65 = 2,474.70 : x
  2. Step 2: Convert to fraction form
    2,960.70/4,447.65 = 2,474.70/x
  3. Step 3: Cross multiply
    2,960.70x = 4,447.65 × 2,474.70
  4. Step 4: Simplify right side
    2,960.70x = 11,006,599.46
  5. Step 5: Solve for x
    x = 11,006,599.46/2,960.70
  6. Step 6: Final answer
    x = 3,717.57

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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.