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Finding the Fourth Proportional to 2,489.65, 3,730.34 and 1,668.15

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Solution

The fourth proportional to 2,489.65, 3,730.34 and 1,668.15 is: 2,499.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.65 : 3,730.34 = 1,668.15 : x
  2. Step 2: Convert to fraction form
    2,489.65/3,730.34 = 1,668.15/x
  3. Step 3: Cross multiply
    2,489.65x = 3,730.34 × 1,668.15
  4. Step 4: Simplify right side
    2,489.65x = 6,222,770.84
  5. Step 5: Solve for x
    x = 6,222,770.84/2,489.65
  6. Step 6: Final answer
    x = 2,499.46

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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.