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Finding the Fourth Proportional to 2,180.50, 3,009.12 and 1,249

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Solution

The fourth proportional to 2,180.50, 3,009.12 and 1,249 is: 1,723.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.50 : 3,009.12 = 1,249 : x
  2. Step 2: Convert to fraction form
    2,180.50/3,009.12 = 1,249/x
  3. Step 3: Cross multiply
    2,180.50x = 3,009.12 × 1,249
  4. Step 4: Simplify right side
    2,180.50x = 3,758,390.88
  5. Step 5: Solve for x
    x = 3,758,390.88/2,180.50
  6. Step 6: Final answer
    x = 1,723.64

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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.