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Finding the Fourth Proportional to 2,857, 3,942.66 and 1,753

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Solution

The fourth proportional to 2,857, 3,942.66 and 1,753 is: 2,419.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857 : 3,942.66 = 1,753 : x
  2. Step 2: Convert to fraction form
    2,857/3,942.66 = 1,753/x
  3. Step 3: Cross multiply
    2,857x = 3,942.66 × 1,753
  4. Step 4: Simplify right side
    2,857x = 6,911,482.98
  5. Step 5: Solve for x
    x = 6,911,482.98/2,857
  6. Step 6: Final answer
    x = 2,419.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.