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Finding the Fourth Proportional to 4,532.69, 6,798.22 and 1,200.96

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Solution

The fourth proportional to 4,532.69, 6,798.22 and 1,200.96 is: 1,801.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,532.69 : 6,798.22 = 1,200.96 : x
  2. Step 2: Convert to fraction form
    4,532.69/6,798.22 = 1,200.96/x
  3. Step 3: Cross multiply
    4,532.69x = 6,798.22 × 1,200.96
  4. Step 4: Simplify right side
    4,532.69x = 8,164,350.30
  5. Step 5: Solve for x
    x = 8,164,350.30/4,532.69
  6. Step 6: Final answer
    x = 1,801.22

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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.