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Finding the Fourth Proportional to 2,627.70, 3,938.20 and 1,395.70

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Solution

The fourth proportional to 2,627.70, 3,938.20 and 1,395.70 is: 2,091.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627.70 : 3,938.20 = 1,395.70 : x
  2. Step 2: Convert to fraction form
    2,627.70/3,938.20 = 1,395.70/x
  3. Step 3: Cross multiply
    2,627.70x = 3,938.20 × 1,395.70
  4. Step 4: Simplify right side
    2,627.70x = 5,496,545.74
  5. Step 5: Solve for x
    x = 5,496,545.74/2,627.70
  6. Step 6: Final answer
    x = 2,091.77

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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.