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Finding the Fourth Proportional to 2,429.62, 3,644.49 and 786.34

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Solution

The fourth proportional to 2,429.62, 3,644.49 and 786.34 is: 1,179.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429.62 : 3,644.49 = 786.34 : x
  2. Step 2: Convert to fraction form
    2,429.62/3,644.49 = 786.34/x
  3. Step 3: Cross multiply
    2,429.62x = 3,644.49 × 786.34
  4. Step 4: Simplify right side
    2,429.62x = 2,865,808.27
  5. Step 5: Solve for x
    x = 2,865,808.27/2,429.62
  6. Step 6: Final answer
    x = 1,179.53

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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.