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Finding the Fourth Proportional to 3,021.64, 4,169.48 and 1,763.11

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Solution

The fourth proportional to 3,021.64, 4,169.48 and 1,763.11 is: 2,432.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,021.64 : 4,169.48 = 1,763.11 : x
  2. Step 2: Convert to fraction form
    3,021.64/4,169.48 = 1,763.11/x
  3. Step 3: Cross multiply
    3,021.64x = 4,169.48 × 1,763.11
  4. Step 4: Simplify right side
    3,021.64x = 7,351,251.88
  5. Step 5: Solve for x
    x = 7,351,251.88/3,021.64
  6. Step 6: Final answer
    x = 2,432.87

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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.