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Finding the Fourth Proportional to 2,508.68, 3,762.06 and 1,481.48

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Solution

The fourth proportional to 2,508.68, 3,762.06 and 1,481.48 is: 2,221.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508.68 : 3,762.06 = 1,481.48 : x
  2. Step 2: Convert to fraction form
    2,508.68/3,762.06 = 1,481.48/x
  3. Step 3: Cross multiply
    2,508.68x = 3,762.06 × 1,481.48
  4. Step 4: Simplify right side
    2,508.68x = 5,573,416.65
  5. Step 5: Solve for x
    x = 5,573,416.65/2,508.68
  6. Step 6: Final answer
    x = 2,221.65

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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.