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Finding the Fourth Proportional to 2,613.46, 3,899.92 and 2,336.50

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Solution

The fourth proportional to 2,613.46, 3,899.92 and 2,336.50 is: 3,486.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.46 : 3,899.92 = 2,336.50 : x
  2. Step 2: Convert to fraction form
    2,613.46/3,899.92 = 2,336.50/x
  3. Step 3: Cross multiply
    2,613.46x = 3,899.92 × 2,336.50
  4. Step 4: Simplify right side
    2,613.46x = 9,112,163.08
  5. Step 5: Solve for x
    x = 9,112,163.08/2,613.46
  6. Step 6: Final answer
    x = 3,486.63

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.