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Finding the Fourth Proportional to 1,919.54, 2,650.69 and 1,212.63

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Solution

The fourth proportional to 1,919.54, 2,650.69 and 1,212.63 is: 1,674.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919.54 : 2,650.69 = 1,212.63 : x
  2. Step 2: Convert to fraction form
    1,919.54/2,650.69 = 1,212.63/x
  3. Step 3: Cross multiply
    1,919.54x = 2,650.69 × 1,212.63
  4. Step 4: Simplify right side
    1,919.54x = 3,214,306.21
  5. Step 5: Solve for x
    x = 3,214,306.21/1,919.54
  6. Step 6: Final answer
    x = 1,674.52

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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.