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Finding the Fourth Proportional to 2,801.67, 4,202.12 and 1,157.99

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Solution

The fourth proportional to 2,801.67, 4,202.12 and 1,157.99 is: 1,736.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.67 : 4,202.12 = 1,157.99 : x
  2. Step 2: Convert to fraction form
    2,801.67/4,202.12 = 1,157.99/x
  3. Step 3: Cross multiply
    2,801.67x = 4,202.12 × 1,157.99
  4. Step 4: Simplify right side
    2,801.67x = 4,865,994.82
  5. Step 5: Solve for x
    x = 4,865,994.82/2,801.67
  6. Step 6: Final answer
    x = 1,736.82

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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.