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Finding the Fourth Proportional to 2,281.44, 3,422.37 and 637.98

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Solution

The fourth proportional to 2,281.44, 3,422.37 and 637.98 is: 957.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.44 : 3,422.37 = 637.98 : x
  2. Step 2: Convert to fraction form
    2,281.44/3,422.37 = 637.98/x
  3. Step 3: Cross multiply
    2,281.44x = 3,422.37 × 637.98
  4. Step 4: Simplify right side
    2,281.44x = 2,183,406.01
  5. Step 5: Solve for x
    x = 2,183,406.01/2,281.44
  6. Step 6: Final answer
    x = 957.03

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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.