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Finding the Fourth Proportional to 3,179.86, 4,388.28 and 1,763.50

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Solution

The fourth proportional to 3,179.86, 4,388.28 and 1,763.50 is: 2,433.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,179.86 : 4,388.28 = 1,763.50 : x
  2. Step 2: Convert to fraction form
    3,179.86/4,388.28 = 1,763.50/x
  3. Step 3: Cross multiply
    3,179.86x = 4,388.28 × 1,763.50
  4. Step 4: Simplify right side
    3,179.86x = 7,738,731.78
  5. Step 5: Solve for x
    x = 7,738,731.78/3,179.86
  6. Step 6: Final answer
    x = 2,433.67

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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.