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Finding the Fourth Proportional to 2,797.03, 4,196.21 and 849.29

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Solution

The fourth proportional to 2,797.03, 4,196.21 and 849.29 is: 1,274.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.03 : 4,196.21 = 849.29 : x
  2. Step 2: Convert to fraction form
    2,797.03/4,196.21 = 849.29/x
  3. Step 3: Cross multiply
    2,797.03x = 4,196.21 × 849.29
  4. Step 4: Simplify right side
    2,797.03x = 3,563,773.96
  5. Step 5: Solve for x
    x = 3,563,773.96/2,797.03
  6. Step 6: Final answer
    x = 1,274.13

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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.