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Finding the Fourth Proportional to 2,797.35, 4,196.12 and 849.57

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Solution

The fourth proportional to 2,797.35, 4,196.12 and 849.57 is: 1,274.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.35 : 4,196.12 = 849.57 : x
  2. Step 2: Convert to fraction form
    2,797.35/4,196.12 = 849.57/x
  3. Step 3: Cross multiply
    2,797.35x = 4,196.12 × 849.57
  4. Step 4: Simplify right side
    2,797.35x = 3,564,893.42
  5. Step 5: Solve for x
    x = 3,564,893.42/2,797.35
  6. Step 6: Final answer
    x = 1,274.38

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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.