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Finding the Fourth Proportional to 2,520.77, 3,480.36 and 2,254.38

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Solution

The fourth proportional to 2,520.77, 3,480.36 and 2,254.38 is: 3,112.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,520.77 : 3,480.36 = 2,254.38 : x
  2. Step 2: Convert to fraction form
    2,520.77/3,480.36 = 2,254.38/x
  3. Step 3: Cross multiply
    2,520.77x = 3,480.36 × 2,254.38
  4. Step 4: Simplify right side
    2,520.77x = 7,846,053.98
  5. Step 5: Solve for x
    x = 7,846,053.98/2,520.77
  6. Step 6: Final answer
    x = 3,112.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.