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Finding the Fourth Proportional to 2,502.16, 3,749.12 and 1,268.32

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Solution

The fourth proportional to 2,502.16, 3,749.12 and 1,268.32 is: 1,900.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.16 : 3,749.12 = 1,268.32 : x
  2. Step 2: Convert to fraction form
    2,502.16/3,749.12 = 1,268.32/x
  3. Step 3: Cross multiply
    2,502.16x = 3,749.12 × 1,268.32
  4. Step 4: Simplify right side
    2,502.16x = 4,755,083.88
  5. Step 5: Solve for x
    x = 4,755,083.88/2,502.16
  6. Step 6: Final answer
    x = 1,900.39

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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.