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Finding the Fourth Proportional to 1,806.50, 2,493.03 and 1,107.74

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Solution

The fourth proportional to 1,806.50, 2,493.03 and 1,107.74 is: 1,528.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.50 : 2,493.03 = 1,107.74 : x
  2. Step 2: Convert to fraction form
    1,806.50/2,493.03 = 1,107.74/x
  3. Step 3: Cross multiply
    1,806.50x = 2,493.03 × 1,107.74
  4. Step 4: Simplify right side
    1,806.50x = 2,761,629.05
  5. Step 5: Solve for x
    x = 2,761,629.05/1,806.50
  6. Step 6: Final answer
    x = 1,528.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.