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Finding the Fourth Proportional to 2,496.97, 3,745.46 and 2,176.21

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Solution

The fourth proportional to 2,496.97, 3,745.46 and 2,176.21 is: 3,264.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,496.97 : 3,745.46 = 2,176.21 : x
  2. Step 2: Convert to fraction form
    2,496.97/3,745.46 = 2,176.21/x
  3. Step 3: Cross multiply
    2,496.97x = 3,745.46 × 2,176.21
  4. Step 4: Simplify right side
    2,496.97x = 8,150,907.51
  5. Step 5: Solve for x
    x = 8,150,907.51/2,496.97
  6. Step 6: Final answer
    x = 3,264.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.