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Finding the Fourth Proportional to 2,857.38, 3,940.65 and 1,927.14

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Solution

The fourth proportional to 2,857.38, 3,940.65 and 1,927.14 is: 2,657.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.38 : 3,940.65 = 1,927.14 : x
  2. Step 2: Convert to fraction form
    2,857.38/3,940.65 = 1,927.14/x
  3. Step 3: Cross multiply
    2,857.38x = 3,940.65 × 1,927.14
  4. Step 4: Simplify right side
    2,857.38x = 7,594,184.24
  5. Step 5: Solve for x
    x = 7,594,184.24/2,857.38
  6. Step 6: Final answer
    x = 2,657.74

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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.