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Finding the Fourth Proportional to 2,532.30, 3,796.14 and 887.96

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Solution

The fourth proportional to 2,532.30, 3,796.14 and 887.96 is: 1,331.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532.30 : 3,796.14 = 887.96 : x
  2. Step 2: Convert to fraction form
    2,532.30/3,796.14 = 887.96/x
  3. Step 3: Cross multiply
    2,532.30x = 3,796.14 × 887.96
  4. Step 4: Simplify right side
    2,532.30x = 3,370,801.49
  5. Step 5: Solve for x
    x = 3,370,801.49/2,532.30
  6. Step 6: Final answer
    x = 1,331.12

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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.