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Finding the Fourth Proportional to 2,457.28, 3,391.92 and 2,194.84

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Solution

The fourth proportional to 2,457.28, 3,391.92 and 2,194.84 is: 3,029.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.28 : 3,391.92 = 2,194.84 : x
  2. Step 2: Convert to fraction form
    2,457.28/3,391.92 = 2,194.84/x
  3. Step 3: Cross multiply
    2,457.28x = 3,391.92 × 2,194.84
  4. Step 4: Simplify right side
    2,457.28x = 7,444,721.69
  5. Step 5: Solve for x
    x = 7,444,721.69/2,457.28
  6. Step 6: Final answer
    x = 3,029.66

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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.