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Finding the Fourth Proportional to 2,797.10, 4,195.74 and 849.32

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Solution

The fourth proportional to 2,797.10, 4,195.74 and 849.32 is: 1,274.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.10 : 4,195.74 = 849.32 : x
  2. Step 2: Convert to fraction form
    2,797.10/4,195.74 = 849.32/x
  3. Step 3: Cross multiply
    2,797.10x = 4,195.74 × 849.32
  4. Step 4: Simplify right side
    2,797.10x = 3,563,525.90
  5. Step 5: Solve for x
    x = 3,563,525.90/2,797.10
  6. Step 6: Final answer
    x = 1,274.01

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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.