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Finding the Fourth Proportional to 2,408.46, 3,613.73 and 849.57

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Solution

The fourth proportional to 2,408.46, 3,613.73 and 849.57 is: 1,274.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.46 : 3,613.73 = 849.57 : x
  2. Step 2: Convert to fraction form
    2,408.46/3,613.73 = 849.57/x
  3. Step 3: Cross multiply
    2,408.46x = 3,613.73 × 849.57
  4. Step 4: Simplify right side
    2,408.46x = 3,070,112.35
  5. Step 5: Solve for x
    x = 3,070,112.35/2,408.46
  6. Step 6: Final answer
    x = 1,274.72

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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.