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Finding the Fourth Proportional to 2,745.02, 3,787.80 and 1,625.78

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Solution

The fourth proportional to 2,745.02, 3,787.80 and 1,625.78 is: 2,243.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.02 : 3,787.80 = 1,625.78 : x
  2. Step 2: Convert to fraction form
    2,745.02/3,787.80 = 1,625.78/x
  3. Step 3: Cross multiply
    2,745.02x = 3,787.80 × 1,625.78
  4. Step 4: Simplify right side
    2,745.02x = 6,158,129.48
  5. Step 5: Solve for x
    x = 6,158,129.48/2,745.02
  6. Step 6: Final answer
    x = 2,243.38

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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.