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Finding the Fourth Proportional to 2,459.75, 3,418.02 and 2,434.46

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Solution

The fourth proportional to 2,459.75, 3,418.02 and 2,434.46 is: 3,382.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.75 : 3,418.02 = 2,434.46 : x
  2. Step 2: Convert to fraction form
    2,459.75/3,418.02 = 2,434.46/x
  3. Step 3: Cross multiply
    2,459.75x = 3,418.02 × 2,434.46
  4. Step 4: Simplify right side
    2,459.75x = 8,321,032.97
  5. Step 5: Solve for x
    x = 8,321,032.97/2,459.75
  6. Step 6: Final answer
    x = 3,382.88

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.