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Finding the Fourth Proportional to 2,627.40, 3,935.70 and 1,806.60

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Solution

The fourth proportional to 2,627.40, 3,935.70 and 1,806.60 is: 2,706.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627.40 : 3,935.70 = 1,806.60 : x
  2. Step 2: Convert to fraction form
    2,627.40/3,935.70 = 1,806.60/x
  3. Step 3: Cross multiply
    2,627.40x = 3,935.70 × 1,806.60
  4. Step 4: Simplify right side
    2,627.40x = 7,110,235.62
  5. Step 5: Solve for x
    x = 7,110,235.62/2,627.40
  6. Step 6: Final answer
    x = 2,706.19

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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.