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Finding the Fourth Proportional to 2,408.44, 3,613.70 and 849.56

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Solution

The fourth proportional to 2,408.44, 3,613.70 and 849.56 is: 1,274.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.44 : 3,613.70 = 849.56 : x
  2. Step 2: Convert to fraction form
    2,408.44/3,613.70 = 849.56/x
  3. Step 3: Cross multiply
    2,408.44x = 3,613.70 × 849.56
  4. Step 4: Simplify right side
    2,408.44x = 3,070,048.06
  5. Step 5: Solve for x
    x = 3,070,048.06/2,408.44
  6. Step 6: Final answer
    x = 1,274.70

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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.