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Finding the Fourth Proportional to 3,137.85, 4,708.37 and 1,494.09

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Solution

The fourth proportional to 3,137.85, 4,708.37 and 1,494.09 is: 2,241.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.85 : 4,708.37 = 1,494.09 : x
  2. Step 2: Convert to fraction form
    3,137.85/4,708.37 = 1,494.09/x
  3. Step 3: Cross multiply
    3,137.85x = 4,708.37 × 1,494.09
  4. Step 4: Simplify right side
    3,137.85x = 7,034,721.06
  5. Step 5: Solve for x
    x = 7,034,721.06/3,137.85
  6. Step 6: Final answer
    x = 2,241.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.