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Finding the Fourth Proportional to 3,105.10, 4,657.65 and 1,857.70

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Solution

The fourth proportional to 3,105.10, 4,657.65 and 1,857.70 is: 2,786.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.10 : 4,657.65 = 1,857.70 : x
  2. Step 2: Convert to fraction form
    3,105.10/4,657.65 = 1,857.70/x
  3. Step 3: Cross multiply
    3,105.10x = 4,657.65 × 1,857.70
  4. Step 4: Simplify right side
    3,105.10x = 8,652,516.41
  5. Step 5: Solve for x
    x = 8,652,516.41/3,105.10
  6. Step 6: Final answer
    x = 2,786.55

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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.