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Finding the Fourth Proportional to 2,540.36, 3,803.36 and 1,613.62

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Solution

The fourth proportional to 2,540.36, 3,803.36 and 1,613.62 is: 2,415.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540.36 : 3,803.36 = 1,613.62 : x
  2. Step 2: Convert to fraction form
    2,540.36/3,803.36 = 1,613.62/x
  3. Step 3: Cross multiply
    2,540.36x = 3,803.36 × 1,613.62
  4. Step 4: Simplify right side
    2,540.36x = 6,137,174.45
  5. Step 5: Solve for x
    x = 6,137,174.45/2,540.36
  6. Step 6: Final answer
    x = 2,415.87

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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.