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Finding the Fourth Proportional to 4,202.69, 6,304.96 and 1,281.22

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Solution

The fourth proportional to 4,202.69, 6,304.96 and 1,281.22 is: 1,922.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,202.69 : 6,304.96 = 1,281.22 : x
  2. Step 2: Convert to fraction form
    4,202.69/6,304.96 = 1,281.22/x
  3. Step 3: Cross multiply
    4,202.69x = 6,304.96 × 1,281.22
  4. Step 4: Simplify right side
    4,202.69x = 8,078,050.33
  5. Step 5: Solve for x
    x = 8,078,050.33/4,202.69
  6. Step 6: Final answer
    x = 1,922.11

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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.