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Finding the Fourth Proportional to 2,459.60, 3,394.97 and 1,608.98

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Solution

The fourth proportional to 2,459.60, 3,394.97 and 1,608.98 is: 2,220.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.60 : 3,394.97 = 1,608.98 : x
  2. Step 2: Convert to fraction form
    2,459.60/3,394.97 = 1,608.98/x
  3. Step 3: Cross multiply
    2,459.60x = 3,394.97 × 1,608.98
  4. Step 4: Simplify right side
    2,459.60x = 5,462,438.83
  5. Step 5: Solve for x
    x = 5,462,438.83/2,459.60
  6. Step 6: Final answer
    x = 2,220.86

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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.