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Finding the Fourth Proportional to 2,287.58, 3,429.31 and 825.71

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Solution

The fourth proportional to 2,287.58, 3,429.31 and 825.71 is: 1,237.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.58 : 3,429.31 = 825.71 : x
  2. Step 2: Convert to fraction form
    2,287.58/3,429.31 = 825.71/x
  3. Step 3: Cross multiply
    2,287.58x = 3,429.31 × 825.71
  4. Step 4: Simplify right side
    2,287.58x = 2,831,615.56
  5. Step 5: Solve for x
    x = 2,831,615.56/2,287.58
  6. Step 6: Final answer
    x = 1,237.82

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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.