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Finding the Fourth Proportional to 2,502.72, 3,453.54 and 1,454.84

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Solution

The fourth proportional to 2,502.72, 3,453.54 and 1,454.84 is: 2,007.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.72 : 3,453.54 = 1,454.84 : x
  2. Step 2: Convert to fraction form
    2,502.72/3,453.54 = 1,454.84/x
  3. Step 3: Cross multiply
    2,502.72x = 3,453.54 × 1,454.84
  4. Step 4: Simplify right side
    2,502.72x = 5,024,348.13
  5. Step 5: Solve for x
    x = 5,024,348.13/2,502.72
  6. Step 6: Final answer
    x = 2,007.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.