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Finding the Fourth Proportional to 2,659.29, 3,668.20 and 1,663.75

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Solution

The fourth proportional to 2,659.29, 3,668.20 and 1,663.75 is: 2,294.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.29 : 3,668.20 = 1,663.75 : x
  2. Step 2: Convert to fraction form
    2,659.29/3,668.20 = 1,663.75/x
  3. Step 3: Cross multiply
    2,659.29x = 3,668.20 × 1,663.75
  4. Step 4: Simplify right side
    2,659.29x = 6,102,949.41
  5. Step 5: Solve for x
    x = 6,102,949.41/2,659.29
  6. Step 6: Final answer
    x = 2,294.96

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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.