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Finding the Fourth Proportional to 2,534.80, 3,801.72 and 890.96

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Solution

The fourth proportional to 2,534.80, 3,801.72 and 890.96 is: 1,336.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.80 : 3,801.72 = 890.96 : x
  2. Step 2: Convert to fraction form
    2,534.80/3,801.72 = 890.96/x
  3. Step 3: Cross multiply
    2,534.80x = 3,801.72 × 890.96
  4. Step 4: Simplify right side
    2,534.80x = 3,387,180.45
  5. Step 5: Solve for x
    x = 3,387,180.45/2,534.80
  6. Step 6: Final answer
    x = 1,336.27

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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.