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Finding the Fourth Proportional to 1,605.48, 2,217.60 and 1,186.44

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Solution

The fourth proportional to 1,605.48, 2,217.60 and 1,186.44 is: 1,638.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.48 : 2,217.60 = 1,186.44 : x
  2. Step 2: Convert to fraction form
    1,605.48/2,217.60 = 1,186.44/x
  3. Step 3: Cross multiply
    1,605.48x = 2,217.60 × 1,186.44
  4. Step 4: Simplify right side
    1,605.48x = 2,631,049.34
  5. Step 5: Solve for x
    x = 2,631,049.34/1,605.48
  6. Step 6: Final answer
    x = 1,638.79

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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.