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Finding the Fourth Proportional to 2,457.44, 3,391.32 and 1,338.38

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Solution

The fourth proportional to 2,457.44, 3,391.32 and 1,338.38 is: 1,846.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.44 : 3,391.32 = 1,338.38 : x
  2. Step 2: Convert to fraction form
    2,457.44/3,391.32 = 1,338.38/x
  3. Step 3: Cross multiply
    2,457.44x = 3,391.32 × 1,338.38
  4. Step 4: Simplify right side
    2,457.44x = 4,538,874.86
  5. Step 5: Solve for x
    x = 4,538,874.86/2,457.44
  6. Step 6: Final answer
    x = 1,846.99

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Why These Related Problems?

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