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Finding the Fourth Proportional to 2,668.55, 3,682.58 and 1,489.61

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Solution

The fourth proportional to 2,668.55, 3,682.58 and 1,489.61 is: 2,055.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.55 : 3,682.58 = 1,489.61 : x
  2. Step 2: Convert to fraction form
    2,668.55/3,682.58 = 1,489.61/x
  3. Step 3: Cross multiply
    2,668.55x = 3,682.58 × 1,489.61
  4. Step 4: Simplify right side
    2,668.55x = 5,485,609.75
  5. Step 5: Solve for x
    x = 5,485,609.75/2,668.55
  6. Step 6: Final answer
    x = 2,055.66

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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.