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Finding the Fourth Proportional to 2,433.69, 3,644.24 and 1,772.85

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Solution

The fourth proportional to 2,433.69, 3,644.24 and 1,772.85 is: 2,654.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,433.69 : 3,644.24 = 1,772.85 : x
  2. Step 2: Convert to fraction form
    2,433.69/3,644.24 = 1,772.85/x
  3. Step 3: Cross multiply
    2,433.69x = 3,644.24 × 1,772.85
  4. Step 4: Simplify right side
    2,433.69x = 6,460,682.02
  5. Step 5: Solve for x
    x = 6,460,682.02/2,433.69
  6. Step 6: Final answer
    x = 2,654.69

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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.