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Finding the Fourth Proportional to 1,806.80, 2,706.60 and 983.84

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Solution

The fourth proportional to 1,806.80, 2,706.60 and 983.84 is: 1,473.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.80 : 2,706.60 = 983.84 : x
  2. Step 2: Convert to fraction form
    1,806.80/2,706.60 = 983.84/x
  3. Step 3: Cross multiply
    1,806.80x = 2,706.60 × 983.84
  4. Step 4: Simplify right side
    1,806.80x = 2,662,861.34
  5. Step 5: Solve for x
    x = 2,662,861.34/1,806.80
  6. Step 6: Final answer
    x = 1,473.80

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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.