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Finding the Fourth Proportional to 2,797.45, 4,196.41 and 849.67

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Solution

The fourth proportional to 2,797.45, 4,196.41 and 849.67 is: 1,274.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.45 : 4,196.41 = 849.67 : x
  2. Step 2: Convert to fraction form
    2,797.45/4,196.41 = 849.67/x
  3. Step 3: Cross multiply
    2,797.45x = 4,196.41 × 849.67
  4. Step 4: Simplify right side
    2,797.45x = 3,565,551.07
  5. Step 5: Solve for x
    x = 3,565,551.07/2,797.45
  6. Step 6: Final answer
    x = 1,274.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.