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Finding the Fourth Proportional to 2,573.13, 3,857.80 and 1,274.30

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Solution

The fourth proportional to 2,573.13, 3,857.80 and 1,274.30 is: 1,910.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,573.13 : 3,857.80 = 1,274.30 : x
  2. Step 2: Convert to fraction form
    2,573.13/3,857.80 = 1,274.30/x
  3. Step 3: Cross multiply
    2,573.13x = 3,857.80 × 1,274.30
  4. Step 4: Simplify right side
    2,573.13x = 4,915,994.54
  5. Step 5: Solve for x
    x = 4,915,994.54/2,573.13
  6. Step 6: Final answer
    x = 1,910.51

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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.