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Finding the Fourth Proportional to 2,579.77, 3,871.28 and 1,040.77

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Solution

The fourth proportional to 2,579.77, 3,871.28 and 1,040.77 is: 1,561.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,579.77 : 3,871.28 = 1,040.77 : x
  2. Step 2: Convert to fraction form
    2,579.77/3,871.28 = 1,040.77/x
  3. Step 3: Cross multiply
    2,579.77x = 3,871.28 × 1,040.77
  4. Step 4: Simplify right side
    2,579.77x = 4,029,112.09
  5. Step 5: Solve for x
    x = 4,029,112.09/2,579.77
  6. Step 6: Final answer
    x = 1,561.81

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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.