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Finding the Fourth Proportional to 2,494.77, 3,442.16 and 1,609.50

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Solution

The fourth proportional to 2,494.77, 3,442.16 and 1,609.50 is: 2,220.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.77 : 3,442.16 = 1,609.50 : x
  2. Step 2: Convert to fraction form
    2,494.77/3,442.16 = 1,609.50/x
  3. Step 3: Cross multiply
    2,494.77x = 3,442.16 × 1,609.50
  4. Step 4: Simplify right side
    2,494.77x = 5,540,148.47
  5. Step 5: Solve for x
    x = 5,540,148.47/2,494.77
  6. Step 6: Final answer
    x = 2,220.71

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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.