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Finding the Fourth Proportional to 2,459.45, 3,394.75 and 1,608.82

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Solution

The fourth proportional to 2,459.45, 3,394.75 and 1,608.82 is: 2,220.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.45 : 3,394.75 = 1,608.82 : x
  2. Step 2: Convert to fraction form
    2,459.45/3,394.75 = 1,608.82/x
  3. Step 3: Cross multiply
    2,459.45x = 3,394.75 × 1,608.82
  4. Step 4: Simplify right side
    2,459.45x = 5,461,546.28
  5. Step 5: Solve for x
    x = 5,461,546.28/2,459.45
  6. Step 6: Final answer
    x = 2,220.64

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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.