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Finding the Fourth Proportional to 4,219.76, 6,329.09 and 1,100.00

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Solution

The fourth proportional to 4,219.76, 6,329.09 and 1,100.00 is: 1,649.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,219.76 : 6,329.09 = 1,100.00 : x
  2. Step 2: Convert to fraction form
    4,219.76/6,329.09 = 1,100.00/x
  3. Step 3: Cross multiply
    4,219.76x = 6,329.09 × 1,100.00
  4. Step 4: Simplify right side
    4,219.76x = 6,961,975.78
  5. Step 5: Solve for x
    x = 6,961,975.78/4,219.76
  6. Step 6: Final answer
    x = 1,649.85

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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.