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Finding the Fourth Proportional to 3,474.70, 4,790.14 and 2,147.65

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Solution

The fourth proportional to 3,474.70, 4,790.14 and 2,147.65 is: 2,960.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.70 : 4,790.14 = 2,147.65 : x
  2. Step 2: Convert to fraction form
    3,474.70/4,790.14 = 2,147.65/x
  3. Step 3: Cross multiply
    3,474.70x = 4,790.14 × 2,147.65
  4. Step 4: Simplify right side
    3,474.70x = 10,287,544.17
  5. Step 5: Solve for x
    x = 10,287,544.17/3,474.70
  6. Step 6: Final answer
    x = 2,960.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.