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Finding the Fourth Proportional to 2,552.80, 3,822.80 and 2,040.80

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Solution

The fourth proportional to 2,552.80, 3,822.80 and 2,040.80 is: 3,056.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.80 : 3,822.80 = 2,040.80 : x
  2. Step 2: Convert to fraction form
    2,552.80/3,822.80 = 2,040.80/x
  3. Step 3: Cross multiply
    2,552.80x = 3,822.80 × 2,040.80
  4. Step 4: Simplify right side
    2,552.80x = 7,801,570.24
  5. Step 5: Solve for x
    x = 7,801,570.24/2,552.80
  6. Step 6: Final answer
    x = 3,056.08

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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.