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Finding the Fourth Proportional to 2,540.79, 3,810.12 and 896.59

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Solution

The fourth proportional to 2,540.79, 3,810.12 and 896.59 is: 1,344.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540.79 : 3,810.12 = 896.59 : x
  2. Step 2: Convert to fraction form
    2,540.79/3,810.12 = 896.59/x
  3. Step 3: Cross multiply
    2,540.79x = 3,810.12 × 896.59
  4. Step 4: Simplify right side
    2,540.79x = 3,416,115.49
  5. Step 5: Solve for x
    x = 3,416,115.49/2,540.79
  6. Step 6: Final answer
    x = 1,344.51

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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.