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Finding the Fourth Proportional to 2,797.17, 4,195.29 and 848.91

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Solution

The fourth proportional to 2,797.17, 4,195.29 and 848.91 is: 1,273.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.17 : 4,195.29 = 848.91 : x
  2. Step 2: Convert to fraction form
    2,797.17/4,195.29 = 848.91/x
  3. Step 3: Cross multiply
    2,797.17x = 4,195.29 × 848.91
  4. Step 4: Simplify right side
    2,797.17x = 3,561,423.63
  5. Step 5: Solve for x
    x = 3,561,423.63/2,797.17
  6. Step 6: Final answer
    x = 1,273.22

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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.