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Finding the Fourth Proportional to 3,192.60, 4,792.80 and 1,806.90

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Solution

The fourth proportional to 3,192.60, 4,792.80 and 1,806.90 is: 2,712.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,192.60 : 4,792.80 = 1,806.90 : x
  2. Step 2: Convert to fraction form
    3,192.60/4,792.80 = 1,806.90/x
  3. Step 3: Cross multiply
    3,192.60x = 4,792.80 × 1,806.90
  4. Step 4: Simplify right side
    3,192.60x = 8,660,110.32
  5. Step 5: Solve for x
    x = 8,660,110.32/3,192.60
  6. Step 6: Final answer
    x = 2,712.56

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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.