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Finding the Fourth Proportional to 2,429.25, 3,643.22 and 1,043.25

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Solution

The fourth proportional to 2,429.25, 3,643.22 and 1,043.25 is: 1,564.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429.25 : 3,643.22 = 1,043.25 : x
  2. Step 2: Convert to fraction form
    2,429.25/3,643.22 = 1,043.25/x
  3. Step 3: Cross multiply
    2,429.25x = 3,643.22 × 1,043.25
  4. Step 4: Simplify right side
    2,429.25x = 3,800,784.05
  5. Step 5: Solve for x
    x = 3,800,784.05/2,429.25
  6. Step 6: Final answer
    x = 1,564.59

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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.