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Finding the Fourth Proportional to 2,540.81, 3,810.27 and 896.92

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Solution

The fourth proportional to 2,540.81, 3,810.27 and 896.92 is: 1,345.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540.81 : 3,810.27 = 896.92 : x
  2. Step 2: Convert to fraction form
    2,540.81/3,810.27 = 896.92/x
  3. Step 3: Cross multiply
    2,540.81x = 3,810.27 × 896.92
  4. Step 4: Simplify right side
    2,540.81x = 3,417,507.37
  5. Step 5: Solve for x
    x = 3,417,507.37/2,540.81
  6. Step 6: Final answer
    x = 1,345.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.