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Finding the Fourth Proportional to 2,457.44, 3,391.68 and 1,409.60

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Solution

The fourth proportional to 2,457.44, 3,391.68 and 1,409.60 is: 1,945.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.44 : 3,391.68 = 1,409.60 : x
  2. Step 2: Convert to fraction form
    2,457.44/3,391.68 = 1,409.60/x
  3. Step 3: Cross multiply
    2,457.44x = 3,391.68 × 1,409.60
  4. Step 4: Simplify right side
    2,457.44x = 4,780,912.13
  5. Step 5: Solve for x
    x = 4,780,912.13/2,457.44
  6. Step 6: Final answer
    x = 1,945.48

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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.