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Finding the Fourth Proportional to 1,919.94, 2,649.16 and 1,447.70

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Solution

The fourth proportional to 1,919.94, 2,649.16 and 1,447.70 is: 1,997.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919.94 : 2,649.16 = 1,447.70 : x
  2. Step 2: Convert to fraction form
    1,919.94/2,649.16 = 1,447.70/x
  3. Step 3: Cross multiply
    1,919.94x = 2,649.16 × 1,447.70
  4. Step 4: Simplify right side
    1,919.94x = 3,835,188.93
  5. Step 5: Solve for x
    x = 3,835,188.93/1,919.94
  6. Step 6: Final answer
    x = 1,997.56

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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.