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Finding the Fourth Proportional to 2,502.08, 3,748.44 and 1,268

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Solution

The fourth proportional to 2,502.08, 3,748.44 and 1,268 is: 1,899.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.08 : 3,748.44 = 1,268 : x
  2. Step 2: Convert to fraction form
    2,502.08/3,748.44 = 1,268/x
  3. Step 3: Cross multiply
    2,502.08x = 3,748.44 × 1,268
  4. Step 4: Simplify right side
    2,502.08x = 4,753,021.92
  5. Step 5: Solve for x
    x = 4,753,021.92/2,502.08
  6. Step 6: Final answer
    x = 1,899.63

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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.