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Finding the Fourth Proportional to 2,289.87, 3,435.41 and 829.24

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Solution

The fourth proportional to 2,289.87, 3,435.41 and 829.24 is: 1,244.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.87 : 3,435.41 = 829.24 : x
  2. Step 2: Convert to fraction form
    2,289.87/3,435.41 = 829.24/x
  3. Step 3: Cross multiply
    2,289.87x = 3,435.41 × 829.24
  4. Step 4: Simplify right side
    2,289.87x = 2,848,772.87
  5. Step 5: Solve for x
    x = 2,848,772.87/2,289.87
  6. Step 6: Final answer
    x = 1,244.08

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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.