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Finding the Fourth Proportional to 2,656.68, 3,668.94 and 1,992.48

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Solution

The fourth proportional to 2,656.68, 3,668.94 and 1,992.48 is: 2,751.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.68 : 3,668.94 = 1,992.48 : x
  2. Step 2: Convert to fraction form
    2,656.68/3,668.94 = 1,992.48/x
  3. Step 3: Cross multiply
    2,656.68x = 3,668.94 × 1,992.48
  4. Step 4: Simplify right side
    2,656.68x = 7,310,289.57
  5. Step 5: Solve for x
    x = 7,310,289.57/2,656.68
  6. Step 6: Final answer
    x = 2,751.66

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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.