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Finding the Fourth Proportional to 2,801.97, 4,203.46 and 1,157.62

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Solution

The fourth proportional to 2,801.97, 4,203.46 and 1,157.62 is: 1,736.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.97 : 4,203.46 = 1,157.62 : x
  2. Step 2: Convert to fraction form
    2,801.97/4,203.46 = 1,157.62/x
  3. Step 3: Cross multiply
    2,801.97x = 4,203.46 × 1,157.62
  4. Step 4: Simplify right side
    2,801.97x = 4,866,016.07
  5. Step 5: Solve for x
    x = 4,866,016.07/2,801.97
  6. Step 6: Final answer
    x = 1,736.64

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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.