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Finding the Fourth Proportional to 4,302.42, 6,448.96 and 1,805.22

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Solution

The fourth proportional to 4,302.42, 6,448.96 and 1,805.22 is: 2,705.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,302.42 : 6,448.96 = 1,805.22 : x
  2. Step 2: Convert to fraction form
    4,302.42/6,448.96 = 1,805.22/x
  3. Step 3: Cross multiply
    4,302.42x = 6,448.96 × 1,805.22
  4. Step 4: Simplify right side
    4,302.42x = 11,641,791.57
  5. Step 5: Solve for x
    x = 11,641,791.57/4,302.42
  6. Step 6: Final answer
    x = 2,705.87

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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.