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Finding the Fourth Proportional to 1,806, 2,493.50 and 1,108.59

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Solution

The fourth proportional to 1,806, 2,493.50 and 1,108.59 is: 1,530.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806 : 2,493.50 = 1,108.59 : x
  2. Step 2: Convert to fraction form
    1,806/2,493.50 = 1,108.59/x
  3. Step 3: Cross multiply
    1,806x = 2,493.50 × 1,108.59
  4. Step 4: Simplify right side
    1,806x = 2,764,263.62
  5. Step 5: Solve for x
    x = 2,764,263.62/1,806
  6. Step 6: Final answer
    x = 1,530.60

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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.