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Finding the Fourth Proportional to 2,663.40, 3,991.32 and 2,085.60

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Solution

The fourth proportional to 2,663.40, 3,991.32 and 2,085.60 is: 3,125.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.40 : 3,991.32 = 2,085.60 : x
  2. Step 2: Convert to fraction form
    2,663.40/3,991.32 = 2,085.60/x
  3. Step 3: Cross multiply
    2,663.40x = 3,991.32 × 2,085.60
  4. Step 4: Simplify right side
    2,663.40x = 8,324,296.99
  5. Step 5: Solve for x
    x = 8,324,296.99/2,663.40
  6. Step 6: Final answer
    x = 3,125.44

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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.