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Finding the Fourth Proportional to 2,663.70, 3,986.37 and 1,836.42

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Solution

The fourth proportional to 2,663.70, 3,986.37 and 1,836.42 is: 2,748.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.70 : 3,986.37 = 1,836.42 : x
  2. Step 2: Convert to fraction form
    2,663.70/3,986.37 = 1,836.42/x
  3. Step 3: Cross multiply
    2,663.70x = 3,986.37 × 1,836.42
  4. Step 4: Simplify right side
    2,663.70x = 7,320,649.60
  5. Step 5: Solve for x
    x = 7,320,649.60/2,663.70
  6. Step 6: Final answer
    x = 2,748.30

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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.