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Finding the Fourth Proportional to 2,745.14, 3,787.29 and 1,750.86

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Solution

The fourth proportional to 2,745.14, 3,787.29 and 1,750.86 is: 2,415.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.14 : 3,787.29 = 1,750.86 : x
  2. Step 2: Convert to fraction form
    2,745.14/3,787.29 = 1,750.86/x
  3. Step 3: Cross multiply
    2,745.14x = 3,787.29 × 1,750.86
  4. Step 4: Simplify right side
    2,745.14x = 6,631,014.57
  5. Step 5: Solve for x
    x = 6,631,014.57/2,745.14
  6. Step 6: Final answer
    x = 2,415.55

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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.