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Finding the Fourth Proportional to 2,469.10, 3,405.90 and 1,711.70

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Solution

The fourth proportional to 2,469.10, 3,405.90 and 1,711.70 is: 2,361.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.10 : 3,405.90 = 1,711.70 : x
  2. Step 2: Convert to fraction form
    2,469.10/3,405.90 = 1,711.70/x
  3. Step 3: Cross multiply
    2,469.10x = 3,405.90 × 1,711.70
  4. Step 4: Simplify right side
    2,469.10x = 5,829,879.03
  5. Step 5: Solve for x
    x = 5,829,879.03/2,469.10
  6. Step 6: Final answer
    x = 2,361.14

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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.