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Finding the Fourth Proportional to 2,504.91, 3,457.07 and 1,456.97

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Solution

The fourth proportional to 2,504.91, 3,457.07 and 1,456.97 is: 2,010.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.91 : 3,457.07 = 1,456.97 : x
  2. Step 2: Convert to fraction form
    2,504.91/3,457.07 = 1,456.97/x
  3. Step 3: Cross multiply
    2,504.91x = 3,457.07 × 1,456.97
  4. Step 4: Simplify right side
    2,504.91x = 5,036,859.56
  5. Step 5: Solve for x
    x = 5,036,859.56/2,504.91
  6. Step 6: Final answer
    x = 2,010.79

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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.