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Finding the Fourth Proportional to 2,457, 3,382.56 and 2,339.82

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Solution

The fourth proportional to 2,457, 3,382.56 and 2,339.82 is: 3,221.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457 : 3,382.56 = 2,339.82 : x
  2. Step 2: Convert to fraction form
    2,457/3,382.56 = 2,339.82/x
  3. Step 3: Cross multiply
    2,457x = 3,382.56 × 2,339.82
  4. Step 4: Simplify right side
    2,457x = 7,914,581.54
  5. Step 5: Solve for x
    x = 7,914,581.54/2,457
  6. Step 6: Final answer
    x = 3,221.24

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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.