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Finding the Fourth Proportional to 1,769.85, 2,668.02 and 1,650.92

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Solution

The fourth proportional to 1,769.85, 2,668.02 and 1,650.92 is: 2,488.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.85 : 2,668.02 = 1,650.92 : x
  2. Step 2: Convert to fraction form
    1,769.85/2,668.02 = 1,650.92/x
  3. Step 3: Cross multiply
    1,769.85x = 2,668.02 × 1,650.92
  4. Step 4: Simplify right side
    1,769.85x = 4,404,674.24
  5. Step 5: Solve for x
    x = 4,404,674.24/1,769.85
  6. Step 6: Final answer
    x = 2,488.73

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.