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Finding the Fourth Proportional to 1,668.06, 2,494.80 and 1,614.60

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Solution

The fourth proportional to 1,668.06, 2,494.80 and 1,614.60 is: 2,414.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,668.06 : 2,494.80 = 1,614.60 : x
  2. Step 2: Convert to fraction form
    1,668.06/2,494.80 = 1,614.60/x
  3. Step 3: Cross multiply
    1,668.06x = 2,494.80 × 1,614.60
  4. Step 4: Simplify right side
    1,668.06x = 4,028,104.08
  5. Step 5: Solve for x
    x = 4,028,104.08/1,668.06
  6. Step 6: Final answer
    x = 2,414.84

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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.