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Finding the Fourth Proportional to 2,429.58, 3,644.82 and 786.18

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Solution

The fourth proportional to 2,429.58, 3,644.82 and 786.18 is: 1,179.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429.58 : 3,644.82 = 786.18 : x
  2. Step 2: Convert to fraction form
    2,429.58/3,644.82 = 786.18/x
  3. Step 3: Cross multiply
    2,429.58x = 3,644.82 × 786.18
  4. Step 4: Simplify right side
    2,429.58x = 2,865,484.59
  5. Step 5: Solve for x
    x = 2,865,484.59/2,429.58
  6. Step 6: Final answer
    x = 1,179.42

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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.