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Finding the Fourth Proportional to 2,149.12, 2,965.57 and 1,264.80

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Solution

The fourth proportional to 2,149.12, 2,965.57 and 1,264.80 is: 1,745.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.12 : 2,965.57 = 1,264.80 : x
  2. Step 2: Convert to fraction form
    2,149.12/2,965.57 = 1,264.80/x
  3. Step 3: Cross multiply
    2,149.12x = 2,965.57 × 1,264.80
  4. Step 4: Simplify right side
    2,149.12x = 3,750,852.94
  5. Step 5: Solve for x
    x = 3,750,852.94/2,149.12
  6. Step 6: Final answer
    x = 1,745.30

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