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Finding the Fourth Proportional to 2,094.98, 2,891.14 and 1,150.84

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Solution

The fourth proportional to 2,094.98, 2,891.14 and 1,150.84 is: 1,588.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.98 : 2,891.14 = 1,150.84 : x
  2. Step 2: Convert to fraction form
    2,094.98/2,891.14 = 1,150.84/x
  3. Step 3: Cross multiply
    2,094.98x = 2,891.14 × 1,150.84
  4. Step 4: Simplify right side
    2,094.98x = 3,327,241.70
  5. Step 5: Solve for x
    x = 3,327,241.70/2,094.98
  6. Step 6: Final answer
    x = 1,588.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.