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Finding the Fourth Proportional to 2,494.96, 3,440.28 and 1,609.60

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Solution

The fourth proportional to 2,494.96, 3,440.28 and 1,609.60 is: 2,219.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.96 : 3,440.28 = 1,609.60 : x
  2. Step 2: Convert to fraction form
    2,494.96/3,440.28 = 1,609.60/x
  3. Step 3: Cross multiply
    2,494.96x = 3,440.28 × 1,609.60
  4. Step 4: Simplify right side
    2,494.96x = 5,537,474.69
  5. Step 5: Solve for x
    x = 5,537,474.69/2,494.96
  6. Step 6: Final answer
    x = 2,219.46

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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.