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Finding the Fourth Proportional to 1,649.85, 2,471.66 and 1,282.85

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Solution

The fourth proportional to 1,649.85, 2,471.66 and 1,282.85 is: 1,921.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.85 : 2,471.66 = 1,282.85 : x
  2. Step 2: Convert to fraction form
    1,649.85/2,471.66 = 1,282.85/x
  3. Step 3: Cross multiply
    1,649.85x = 2,471.66 × 1,282.85
  4. Step 4: Simplify right side
    1,649.85x = 3,170,769.03
  5. Step 5: Solve for x
    x = 3,170,769.03/1,649.85
  6. Step 6: Final answer
    x = 1,921.86

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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.